101101110010020 has 72 divisors (see below), whose sum is σ = 308879650322880. Its totient is φ = 26766337032000.

The previous prime is 101101110010009. The next prime is 101101110010039. The reversal of 101101110010020 is 20010011101101.

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 = 101101110009984 and 101101110010011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2020380856 + ... + 2020430895.

Almost surely, 2^{101101110010020} is an apocalyptic number.

101101110010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101110010020 is an abundant number, since it is smaller than the sum of its proper divisors (207778540312860).

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

101101110010020 is a wasteful number, since it uses less digits than its factorization.

101101110010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4040811905 (or 4040811900 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101101110010020 its reverse (20010011101101), we get a palindrome (121111121111121).

The spelling of 101101110010020 in words is "one hundred one trillion, one hundred one billion, one hundred ten million, ten thousand, twenty".