101012000220120 has 128 divisors (see below), whose sum is σ = 330614902506240. Its totient is φ = 24485522480640.

The previous prime is 101012000220101. The next prime is 101012000220133. The reversal of 101012000220120 is 21022000210101.

101012000220120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 101012000220096 and 101012000220105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10997427 + ... + 17971293.

It is an arithmetic number, because the mean of its divisors is an integer number (2582928925830).

Almost surely, 2^{101012000220120} is an apocalyptic number.

101012000220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012000220120 is an abundant number, since it is smaller than the sum of its proper divisors (229602902286120).

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

101012000220120 is a wasteful number, since it uses less digits than its factorization.

101012000220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6984865 (or 6984861 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101012000220120 its reverse (21022000210101), we get a palindrome (122034000430221).

The spelling of 101012000220120 in words is "one hundred one trillion, twelve billion, two hundred twenty thousand, one hundred twenty".