102120000220 has 48 divisors (see below), whose sum is σ = 245111021568. Its totient is φ = 35009282880.

The previous prime is 102120000181. The next prime is 102120000289. The reversal of 102120000220 is 22000021201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102120000197 and 102120000206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1817955 + ... + 1873285.

It is an arithmetic number, because the mean of its divisors is an integer number (5106479616).

Almost surely, 2^102120000220 is an apocalyptic number.

102120000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120000220 is an abundant number, since it is smaller than the sum of its proper divisors (142991021348).

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

102120000220 is a wasteful number, since it uses less digits than its factorization.

102120000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68530 (or 68528 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 102120000220 its reverse (22000021201), we get a palindrome (124120021421).

The spelling of 102120000220 in words is "one hundred two billion, one hundred twenty million, two hundred twenty", and thus it is an aban number.