103122120031020 has 72 divisors (see below), whose sum is σ = 312804626438304. Its totient is φ = 27499156197888.

The previous prime is 103122120030971. The next prime is 103122120031037. The reversal of 103122120031020 is 20130021221301.

103122120031020 is a `hidden beast` number, since 1 + 0 + 312 + 2 + 1 + 20 + 0 + 310 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103122120030984 and 103122120031002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101102017 + ... + 102116903.

It is an arithmetic number, because the mean of its divisors is an integer number (4344508700532).

Almost surely, 2^{103122120031020} is an apocalyptic number.

103122120031020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103122120031020 is an abundant number, since it is smaller than the sum of its proper divisors (209682506407284).

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

103122120031020 is a wasteful number, since it uses less digits than its factorization.

103122120031020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579399 (or 1579394 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103122120031020 its reverse (20130021221301), we get a palindrome (123252141252321).

The spelling of 103122120031020 in words is "one hundred three trillion, one hundred twenty-two billion, one hundred twenty million, thirty-one thousand, twenty".