101020120311020 has 48 divisors (see below), whose sum is σ = 219029469109248. Its totient is φ = 39096720204480.

The previous prime is 101020120311007. The next prime is 101020120311031. The reversal of 101020120311020 is 20113021020101.

It is a junction number, because it is equal to n+sod(n) for n = 101020120310986 and 101020120311004.

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, 13244102 + ... + 19427981.

It is an arithmetic number, because the mean of its divisors is an integer number (4563113939776).

Almost surely, 2^{101020120311020} is an apocalyptic number.

101020120311020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020120311020 is an abundant number, since it is smaller than the sum of its proper divisors (118009348798228).

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

101020120311020 is a wasteful number, since it uses less digits than its factorization.

101020120311020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32677110 (or 32677108 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 101020120311020 its reverse (20113021020101), we get a palindrome (121133141331121).

The spelling of 101020120311020 in words is "one hundred one trillion, twenty billion, one hundred twenty million, three hundred eleven thousand, twenty".