100001112212120 has 64 divisors (see below), whose sum is σ = 257147354868480. Its totient is φ = 34285877248896.

The previous prime is 100001112212117. The next prime is 100001112212147. The reversal of 100001112212120 is 21212211100001.

It is a super-2 number, since 2×100001112212120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 100001112212095 and 100001112212104.

It is a congruent number.

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, 46454267 + ... + 48559253.

It is an arithmetic number, because the mean of its divisors is an integer number (4017927419820).

Almost surely, 2^{100001112212120} is an apocalyptic number.

100001112212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001112212120 is an abundant number, since it is smaller than the sum of its proper divisors (157146242656360).

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

100001112212120 is a wasteful number, since it uses less digits than its factorization.

100001112212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274672 (or 2274668 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100001112212120 its reverse (21212211100001), we get a palindrome (121213323312121).

The spelling of 100001112212120 in words is "one hundred trillion, one billion, one hundred twelve million, two hundred twelve thousand, one hundred twenty".