102110001120000 has 1080 divisors, whose sum is σ = 378719096595840. Its totient is φ = 26431488000000.

The previous prime is 102110001119981. The next prime is 102110001120089. The reversal of 102110001120000 is 21100011201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 25521118000 + ... + 25521122000.

Almost surely, 2^{102110001120000} is an apocalyptic number.

102110001120000 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 102110001120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189359548297920).

102110001120000 is an abundant number, since it is smaller than the sum of its proper divisors (276609095475840).

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

102110001120000 is an equidigital number, since it uses as much as digits as its factorization.

102110001120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4559 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102110001120000 its reverse (21100011201), we get a palindrome (102131101131201).

The spelling of 102110001120000 in words is "one hundred two trillion, one hundred ten billion, one million, one hundred twenty thousand".