10120100112000 has 768 divisors, whose sum is σ = 38296492416000. Its totient is φ = 2553995059200.

The previous prime is 10120100111999. The next prime is 10120100112011. The reversal of 10120100112000 is 21100102101.

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 95 ways as a sum of consecutive naturals, for example, 4987726986 + ... + 4987729014.

It is an arithmetic number, because the mean of its divisors is an integer number (49865224500).

Almost surely, 2^{10120100112000} is an apocalyptic number.

10120100112000 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 10120100112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19148246208000).

10120100112000 is an abundant number, since it is smaller than the sum of its proper divisors (28176392304000).

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

10120100112000 is a wasteful number, since it uses less digits than its factorization.

10120100112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3906 (or 3881 counting only the distinct ones).

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

Adding to 10120100112000 its reverse (21100102101), we get a palindrome (10141200214101).

The spelling of 10120100112000 in words is "ten trillion, one hundred twenty billion, one hundred million, one hundred twelve thousand".