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101220122100222 = 23252063110801009
BaseRepresentation
bin10111000000111100100101…
…011011000000000111111110
3111021101112211100022020112100
4113000330211123000013332
5101231342302224201342
6555135514313445530
730214624661651436
oct2700744533000776
9437345740266470
10101220122100222
112a285238138a64
12b42917a1108a6
13446302a4b9418
141add1199272c6
15ba7e7ace3e4c
hex5c0f256c01fe

101220122100222 has 24 divisors (see below), whose sum is σ = 219310706094480. Its totient is φ = 33739972770240.

The previous prime is 101220122100107. The next prime is 101220122100233. The reversal of 101220122100222 is 222001221022101.

It is a happy number.

101220122100222 is a `hidden beast` number, since 1 + 0 + 1 + 220 + 1 + 221 + 0 + 0 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101220122100195 and 101220122100204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3970854 + ... + 14771862.

It is an arithmetic number, because the mean of its divisors is an integer number (9137946087270).

Almost surely, 2101220122100222 is an apocalyptic number.

101220122100222 is an abundant number, since it is smaller than the sum of its proper divisors (118090583994258).

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

101220122100222 is a wasteful number, since it uses less digits than its factorization.

101220122100222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11321648 (or 11321645 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101220122100222 its reverse (222001221022101), we get a palindrome (323221343122323).

The spelling of 101220122100222 in words is "one hundred one trillion, two hundred twenty billion, one hundred twenty-two million, one hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 520631 1041262 1561893 3123786 4685679 9371358 10801009 21602018 32403027 64806054 97209081 194418162 5623340116679 11246680233358 16870020350037 33740040700074 50610061050111 101220122100222