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100122010120201 = 6722675303124303
BaseRepresentation
bin10110110000111101111000…
…110110001111000000001001
3111010111120102000212211022111
4112300331320312033000021
5101110344334042321301
6552535225543022321
730042401514066346
oct2660757066170011
9433446360784274
10100122010120201
11299a15625a0363
12b29039673a9a1
1343b360790bb44
141aa1d070c97cd
15b8960ae86551
hex5b0f78d8f009

100122010120201 has 16 divisors (see below), whose sum is σ = 101681181149184. Its totient is φ = 98564762753424.

The previous prime is 100122010120177. The next prime is 100122010120213. The reversal of 100122010120201 is 102021010221001.

It is a cyclic number.

It is not a de Polignac number, because 100122010120201 - 221 = 100122008023049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100122010121201) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 805405216 + ... + 805529518.

It is an arithmetic number, because the mean of its divisors is an integer number (6355073821824).

Almost surely, 2100122010120201 is an apocalyptic number.

It is an amenable number.

100122010120201 is a deficient number, since it is larger than the sum of its proper divisors (1559171028983).

100122010120201 is a wasteful number, since it uses less digits than its factorization.

100122010120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131940.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100122010120201 its reverse (102021010221001), we get a palindrome (202143020341202).

The spelling of 100122010120201 in words is "one hundred trillion, one hundred twenty-two billion, ten million, one hundred twenty thousand, two hundred one".

Divisors: 1 67 2267 5303 124303 151889 355301 8328301 12021901 281794901 659178809 805467367 18880258367 44164980203 1494358360003 100122010120201