100211112110120 has 32 divisors (see below), whose sum is σ = 245972729725920. Its totient is φ = 36440404403520.

The previous prime is 100211112110009. The next prime is 100211112110267. The reversal of 100211112110120 is 21011211112001.

100211112110120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 100211112110095 and 100211112110104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113876263322 + ... + 113876264201.

It is an arithmetic number, because the mean of its divisors is an integer number (7686647803935).

Almost surely, 2^{100211112110120} is an apocalyptic number.

100211112110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211112110120 is an abundant number, since it is smaller than the sum of its proper divisors (145761617615800).

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

100211112110120 is a wasteful number, since it uses less digits than its factorization.

100211112110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227752527545 (or 227752527541 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100211112110120 its reverse (21011211112001), we get a palindrome (121222323222121).

The spelling of 100211112110120 in words is "one hundred trillion, two hundred eleven billion, one hundred twelve million, one hundred ten thousand, one hundred twenty".