100210101002112 has 32 divisors (see below), whose sum is σ = 266183080787880. Its totient is φ = 33403367000576.

The previous prime is 100210101002111. The next prime is 100210101002131. The reversal of 100210101002112 is 211200101012001.

100210101002112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210101002111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 130481901963 + ... + 130481902730.

Almost surely, 2^{100210101002112} is an apocalyptic number.

100210101002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100210101002112 is an abundant number, since it is smaller than the sum of its proper divisors (165972979785768).

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

100210101002112 is an equidigital number, since it uses as much as digits as its factorization.

100210101002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260963804710 (or 260963804698 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100210101002112 its reverse (211200101012001), we get a palindrome (311410202014113).

The spelling of 100210101002112 in words is "one hundred trillion, two hundred ten billion, one hundred one million, two thousand, one hundred twelve".