101000022210120 has 128 divisors (see below), whose sum is σ = 330728056058880. Its totient is φ = 24471333216000.

The previous prime is 101000022210107. The next prime is 101000022210133. The reversal of 101000022210120 is 21012220000101.

It is an interprime number because it is at equal distance from previous prime (101000022210107) and next prime (101000022210133).

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 = 101000022210096 and 101000022210105.

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, 18734596 + ... + 23515635.

It is an arithmetic number, because the mean of its divisors is an integer number (2583812937960).

Almost surely, 2^{101000022210120} is an apocalyptic number.

101000022210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000022210120 is an abundant number, since it is smaller than the sum of its proper divisors (229728033848760).

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

101000022210120 is a wasteful number, since it uses less digits than its factorization.

101000022210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42252067 (or 42252063 counting only the distinct ones).

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

Adding to 101000022210120 its reverse (21012220000101), we get a palindrome (122012242210221).

The spelling of 101000022210120 in words is "one hundred one trillion, twenty-two million, two hundred ten thousand, one hundred twenty".