10102120120000 has 280 divisors, whose sum is σ = 27024042488256. Its totient is φ = 3731380224000.

The previous prime is 10102120119991. The next prime is 10102120120031. The reversal of 10102120120000 is 2102120101.

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

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, 35899849 + ... + 36180151.

Almost surely, 2^{10102120120000} is an apocalyptic number.

10102120120000 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 10102120120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13512021244128).

10102120120000 is an abundant number, since it is smaller than the sum of its proper divisors (16921922368256).

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

10102120120000 is an equidigital number, since it uses as much as digits as its factorization.

10102120120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280405 (or 280380 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10102120120000 its reverse (2102120101), we get a palindrome (10104222240101).

The spelling of 10102120120000 in words is "ten trillion, one hundred two billion, one hundred twenty million, one hundred twenty thousand".