100122001211112 has 64 divisors (see below), whose sum is σ = 261043062873600. Its totient is φ = 31964456632320.

The previous prime is 100122001211101. The next prime is 100122001211123. The reversal of 100122001211112 is 211112100221001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100122001211101) and next prime (100122001211123).

It is a junction number, because it is equal to n+sod(n) for n = 100122001211091 and 100122001211100.

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, 693600937 + ... + 693745272.

It is an arithmetic number, because the mean of its divisors is an integer number (4078797857400).

Almost surely, 2^{100122001211112} is an apocalyptic number.

100122001211112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100122001211112 is an abundant number, since it is smaller than the sum of its proper divisors (160921061662488).

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

100122001211112 is a wasteful number, since it uses less digits than its factorization.

100122001211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387346346 (or 1387346342 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100122001211112 its reverse (211112100221001), we get a palindrome (311234101432113).

The spelling of 100122001211112 in words is "one hundred trillion, one hundred twenty-two billion, one million, two hundred eleven thousand, one hundred twelve".