101110102020 has 144 divisors (see below), whose sum is σ = 333519037488. Its totient is φ = 24690769920.

The previous prime is 101110101971. The next prime is 101110102087. The reversal of 101110102020 is 20201011101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 41244735744 + 59865366276 = 203088^2 + 244674^2 .

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 = 101110101993 and 101110102011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 333301 + ... + 559740.

It is an arithmetic number, because the mean of its divisors is an integer number (2316104427).

Almost surely, 2^101110102020 is an apocalyptic number.

101110102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101110102020 is an abundant number, since it is smaller than the sum of its proper divisors (232408935468).

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

101110102020 is a wasteful number, since it uses less digits than its factorization.

101110102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893110 (or 893105 counting only the distinct ones).

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

Adding to 101110102020 its reverse (20201011101), we get a palindrome (121311113121).

The spelling of 101110102020 in words is "one hundred one billion, one hundred ten million, one hundred two thousand, twenty".