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101012212101021 = 31335367710837919
BaseRepresentation
bin10110111101111010111101…
…000001010010111110011101
3111020122200011201221222000120
4112331322331001102332131
5101214441002244213041
6554500211500545153
730163614532062324
oct2675727501227635
9436580151858016
10101012212101021
112a205047391341
12b3b4a155521b9
1344495454a9560
141ad30350c90bb
15ba285d201366
hex5bdebd052f9d

101012212101021 has 32 divisors (see below), whose sum is σ = 145668927882240. Its totient is φ = 61893702334464.

The previous prime is 101012212100971. The next prime is 101012212101049. The reversal of 101012212101021 is 120101212210101.

It is a happy number.

It is not a de Polignac number, because 101012212101021 - 221 = 101012210003869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012212101091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3901300 + ... + 14739218.

It is an arithmetic number, because the mean of its divisors is an integer number (4552153996320).

Almost surely, 2101012212101021 is an apocalyptic number.

It is an amenable number.

101012212101021 is a deficient number, since it is larger than the sum of its proper divisors (44656715781219).

101012212101021 is a wasteful number, since it uses less digits than its factorization.

101012212101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10838965.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101012212101021 its reverse (120101212210101), we get a palindrome (221113424311122).

The spelling of 101012212101021 in words is "one hundred one trillion, twelve billion, two hundred twelve million, one hundred one thousand, twenty-one".

Divisors: 1 3 13 39 353 677 1059 2031 4589 8801 13767 26403 238981 716943 3106753 9320259 10837919 32513757 140892947 422678841 3825785407 7337271163 11477356221 22011813489 49735210291 95384525119 149205630873 286153575357 2590056720539 7770170161617 33670737367007 101012212101021