100211121110112 has 96 divisors (see below), whose sum is σ = 263776880868480. Its totient is φ = 33311956285440.

The previous prime is 100211121110047. The next prime is 100211121110129. The reversal of 100211121110112 is 211011121112001.

100211121110112 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 (96).

It is a junction number, because it is equal to n+sod(n) for n = 100211121110091 and 100211121110100.

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, 346267423 + ... + 346556705.

It is an arithmetic number, because the mean of its divisors is an integer number (2747675842380).

Almost surely, 2^{100211121110112} is an apocalyptic number.

100211121110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100211121110112 is an abundant number, since it is smaller than the sum of its proper divisors (163565759758368).

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

100211121110112 is a wasteful number, since it uses less digits than its factorization.

100211121110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299196 (or 299188 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 100211121110112 its reverse (211011121112001), we get a palindrome (311222242222113).

The spelling of 100211121110112 in words is "one hundred trillion, two hundred eleven billion, one hundred twenty-one million, one hundred ten thousand, one hundred twelve".