100201223112102 has 24 divisors (see below), whose sum is σ = 248117314373136. Its totient is φ = 28628920889136.

The previous prime is 100201223112073. The next prime is 100201223112121. The reversal of 100201223112102 is 201211322102001.

100201223112102 is a `hidden beast` number, since 1 + 0 + 0 + 20 + 122 + 311 + 210 + 2 = 666.

It is a super-2 number, since 2×100201223112102² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 397623901113 + ... + 397623901364.

It is an arithmetic number, because the mean of its divisors is an integer number (10338221432214).

Almost surely, 2^{100201223112102} is an apocalyptic number.

100201223112102 is an abundant number, since it is smaller than the sum of its proper divisors (147916091261034).

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

100201223112102 is a wasteful number, since it uses less digits than its factorization.

100201223112102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795247802492 (or 795247802489 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 100201223112102 its reverse (201211322102001), we get a palindrome (301412545214103).

The spelling of 100201223112102 in words is "one hundred trillion, two hundred one billion, two hundred twenty-three million, one hundred twelve thousand, one hundred two".