10100100221120 has 112 divisors (see below), whose sum is σ = 29601063041088. Its totient is φ = 3196515225600.

The previous prime is 10100100221111. The next prime is 10100100221137. The reversal of 10100100221120 is 2112200100101.

It is a tau number, because it is divible by the number of its divisors (112).

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, 173392931 + ... + 173451170.

It is an arithmetic number, because the mean of its divisors is an integer number (264295205724).

Almost surely, 2^{10100100221120} is an apocalyptic number.

10100100221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100100221120 is an abundant number, since it is smaller than the sum of its proper divisors (19500962819968).

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

10100100221120 is a wasteful number, since it uses less digits than its factorization.

10100100221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346844138 (or 346844128 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10100100221120 its reverse (2112200100101), we get a palindrome (12212300321221).

The spelling of 10100100221120 in words is "ten trillion, one hundred billion, one hundred million, two hundred twenty-one thousand, one hundred twenty".