101110010020020 has 144 divisors (see below), whose sum is σ = 307324704960000. Its totient is φ = 26907818800896.

The previous prime is 101110010020013. The next prime is 101110010020021. The reversal of 101110010020020 is 20020010011101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101110010019984 and 101110010020011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110010020021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 267107446 + ... + 267485714.

It is an arithmetic number, because the mean of its divisors is an integer number (2134199340000).

Almost surely, 2^{101110010020020} is an apocalyptic number.

101110010020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101110010020020 is an abundant number, since it is smaller than the sum of its proper divisors (206214694939980).

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

101110010020020 is a wasteful number, since it uses less digits than its factorization.

101110010020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381302 (or 381297 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101110010020020 its reverse (20020010011101), we get a palindrome (121130020031121).

The spelling of 101110010020020 in words is "one hundred one trillion, one hundred ten billion, ten million, twenty thousand, twenty".