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101001102022212 = 22371597637526111
BaseRepresentation
bin10110111101110000100110…
…110011101101011001000100
3111020121121111110101111001020
4112331300212303231121010
5101214300224104202322
6554451133221231140
730163042315006110
oct2675604663553104
9436547443344036
10101001102022212
112a200365aa8727
12b3b28348624b0
13444849481ca22
141ad269d762740
15ba240cb6b05c
hex5bdc26ced644

101001102022212 has 48 divisors (see below), whose sum is σ = 269337993695232. Its totient is φ = 28857273259680.

The previous prime is 101001102022201. The next prime is 101001102022229. The reversal of 101001102022212 is 212220201100101.

It is a junction number, because it is equal to n+sod(n) for n = 101001102022191 and 101001102022200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9657037 + ... + 17183147.

It is an arithmetic number, because the mean of its divisors is an integer number (5611208201984).

Almost surely, 2101001102022212 is an apocalyptic number.

101001102022212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101001102022212 is an abundant number, since it is smaller than the sum of its proper divisors (168336891673020).

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

101001102022212 is a wasteful number, since it uses less digits than its factorization.

101001102022212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7685888 (or 7685886 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101001102022212 its reverse (212220201100101), we get a palindrome (313221303122313).

The spelling of 101001102022212 in words is "one hundred one trillion, one billion, one hundred two million, twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 159763 319526 479289 639052 958578 1118341 1917156 2236682 3355023 4473364 6710046 7526111 13420092 15052222 22578333 30104444 45156666 52682777 90313332 105365554 158048331 210731108 316096662 632193324 1202394071693 2404788143386 3607182215079 4809576286772 7214364430158 8416758501851 14428728860316 16833517003702 25250275505553 33667034007404 50500551011106 101001102022212