10120002101000 has 96 divisors (see below), whose sum is σ = 26029314806040. Its totient is φ = 3680000720000.

The previous prime is 10120002100993. The next prime is 10120002101147. The reversal of 10120002101000 is 10120002101.

It can be written as a sum of positive squares in 4 ways, for example, as 395920325284 + 9724081775716 = 629222^2 + 3118346^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41697191 + ... + 41939190.

Almost surely, 2^{10120002101000} is an apocalyptic number.

10120002101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120002101000 is an abundant number, since it is smaller than the sum of its proper divisors (15909312705040).

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

10120002101000 is a wasteful number, since it uses less digits than its factorization.

10120002101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83636424 (or 83636399 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10120002101000 its reverse (10120002101), we get a palindrome (10130122103101).

10120002101000 divided by its reverse (10120002101) gives a cube (1000 = 10³).

The spelling of 10120002101000 in words is "ten trillion, one hundred twenty billion, two million, one hundred one thousand".