101100110102020 has 48 divisors (see below), whose sum is σ = 213577402147200. Its totient is φ = 40199257669376.

The previous prime is 101100110102003. The next prime is 101100110102041. The reversal of 101100110102020 is 20201011001101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101100110101988 and 101100110102006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15318262 + ... + 20900941.

It is an arithmetic number, because the mean of its divisors is an integer number (4449529211400).

Almost surely, 2^{101100110102020} is an apocalyptic number.

101100110102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100110102020 is an abundant number, since it is smaller than the sum of its proper divisors (112477292045180).

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

101100110102020 is a wasteful number, since it uses less digits than its factorization.

101100110102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36220044 (or 36220042 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101100110102020 its reverse (20201011001101), we get a palindrome (121301121103121).

The spelling of 101100110102020 in words is "one hundred one trillion, one hundred billion, one hundred ten million, one hundred two thousand, twenty".