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101012200210020 = 223511236654295139
BaseRepresentation
bin10110111101111010111100…
…010011111011111001100100
3111020122200010220120211122010
4112331322330103323321210
5101214440441223210040
6554500210354034220
730163614326025561
oct2675727423737144
9436580126524563
10101012200210020
112a2050406aa470
12b3b4a11578970
134449542ba5068
141ad30336b1868
15ba285c152e80
hex5bdebc4fbe64

101012200210020 has 96 divisors (see below), whose sum is σ = 321961416053760. Its totient is φ = 23423118885760.

The previous prime is 101012200209979. The next prime is 101012200210037. The reversal of 101012200210020 is 20012002210101.

101012200210020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101012200209978 and 101012200210005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3327132390 + ... + 3327162749.

It is an arithmetic number, because the mean of its divisors is an integer number (3353764750560).

Almost surely, 2101012200210020 is an apocalyptic number.

101012200210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012200210020 is an abundant number, since it is smaller than the sum of its proper divisors (220949215843740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101012200210020 is a wasteful number, since it uses less digits than its factorization.

101012200210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6654295185 (or 6654295183 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101012200210020 its reverse (20012002210101), we get a palindrome (121024202420121).

The spelling of 101012200210020 in words is "one hundred one trillion, twelve billion, two hundred million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 660 690 759 1012 1265 1380 1518 2530 3036 3795 5060 7590 15180 6654295139 13308590278 19962885417 26617180556 33271475695 39925770834 66542951390 73197246529 79851541668 99814427085 133085902780 146394493058 153048788197 199628854170 219591739587 292788986116 306097576394 365986232645 399257708340 439183479174 459146364591 612195152788 731972465290 765243940985 878366958348 918292729182 1097958697935 1463944930580 1530487881970 1683536670167 1836585458364 2195917395870 2295731822955 3060975763940 3367073340334 4391834791740 4591463645910 5050610010501 6734146680668 8417683350835 9182927291820 10101220021002 16835366701670 20202440042004 25253050052505 33670733403340 50506100105010 101012200210020