101013123011020 has 48 divisors (see below), whose sum is σ = 235778143755168. Its totient is φ = 36038987279360.

The previous prime is 101013123010981. The next prime is 101013123011027. The reversal of 101013123011020 is 20110321310101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101013123010985 and 101013123011003.

It is not an unprimeable number, because it can be changed into a prime (101013123011027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4331597389 + ... + 4331620708.

It is an arithmetic number, because the mean of its divisors is an integer number (4912044661566).

Almost surely, 2^{101013123011020} is an apocalyptic number.

101013123011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101013123011020 is an abundant number, since it is smaller than the sum of its proper divisors (134765020744148).

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

101013123011020 is a wasteful number, since it uses less digits than its factorization.

101013123011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8663218170 (or 8663218168 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 101013123011020 its reverse (20110321310101), we get a palindrome (121123444321121).

The spelling of 101013123011020 in words is "one hundred one trillion, thirteen billion, one hundred twenty-three million, eleven thousand, twenty".