101002311311020 has 96 divisors (see below), whose sum is σ = 257257458718848. Its totient is φ = 32517071142912.

The previous prime is 101002311310933. The next prime is 101002311311039. The reversal of 101002311311020 is 20113113200101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101002311310985 and 101002311311003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47974017 + ... + 50035096.

It is an arithmetic number, because the mean of its divisors is an integer number (2679765194988).

Almost surely, 2^{101002311311020} is an apocalyptic number.

101002311311020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002311311020 is an abundant number, since it is smaller than the sum of its proper divisors (156255147407828).

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

101002311311020 is a wasteful number, since it uses less digits than its factorization.

101002311311020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98009579 (or 98009577 counting only the distinct ones).

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

Adding to 101002311311020 its reverse (20113113200101), we get a palindrome (121115424511121).

The spelling of 101002311311020 in words is "one hundred one trillion, two billion, three hundred eleven million, three hundred eleven thousand, twenty".