102120120020000 has 240 divisors, whose sum is σ = 259383906980352. Its totient is φ = 39522919680000.

The previous prime is 102120120019991. The next prime is 102120120020011. The reversal of 102120120020000 is 20021021201.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4211647877 + ... + 4211672123.

Almost surely, 2^{102120120020000} is an apocalyptic number.

102120120020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102120120020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129691953490176).

102120120020000 is an abundant number, since it is smaller than the sum of its proper divisors (157263786960352).

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

102120120020000 is an equidigital number, since it uses as much as digits as its factorization.

102120120020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31101 (or 31078 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102120120020000 its reverse (20021021201), we get a palindrome (102140141041201).

The spelling of 102120120020000 in words is "one hundred two trillion, one hundred twenty billion, one hundred twenty million, twenty thousand".