102112120020 has 48 divisors (see below), whose sum is σ = 285931981440. Its totient is φ = 27228180096.

The previous prime is 102112120013. The next prime is 102112120021. The reversal of 102112120020 is 20021211201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102112119978 and 102112120005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112120021) 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, 1115094 + ... + 1203186.

It is an arithmetic number, because the mean of its divisors is an integer number (5956916280).

Almost surely, 2^102112120020 is an apocalyptic number.

102112120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112120020 is an abundant number, since it is smaller than the sum of its proper divisors (183819861420).

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

102112120020 is a wasteful number, since it uses less digits than its factorization.

102112120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107424 (or 107422 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102112120020 its reverse (20021211201), we get a palindrome (122133331221).

The spelling of 102112120020 in words is "one hundred two billion, one hundred twelve million, one hundred twenty thousand, twenty".