100211010102112 has 96 divisors (see below), whose sum is σ = 242836901137152. Its totient is φ = 39640991169024.

The previous prime is 100211010102101. The next prime is 100211010102127. The reversal of 100211010102112 is 211201010112001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 100211010102092 and 100211010102101.

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, 38419143 + ... + 40944505.

It is an arithmetic number, because the mean of its divisors is an integer number (2529551053512).

Almost surely, 2^{100211010102112} is an apocalyptic number.

It is an amenable number.

100211010102112 is an abundant number, since it is smaller than the sum of its proper divisors (142625891035040).

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

100211010102112 is a wasteful number, since it uses less digits than its factorization.

100211010102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2539020 (or 2539012 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100211010102112 its reverse (211201010112001), we get a palindrome (311412020214113).

The spelling of 100211010102112 in words is "one hundred trillion, two hundred eleven billion, ten million, one hundred two thousand, one hundred twelve".