10100000002120 has 256 divisors, whose sum is σ = 27427747737600. Its totient is φ = 3269892602880.

The previous prime is 10100000002117. The next prime is 10100000002123. The reversal of 10100000002120 is 2120000000101.

It is an interprime number because it is at equal distance from previous prime (10100000002117) and next prime (10100000002123).

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (10100000002123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2387140405 + ... + 2387144635.

It is an arithmetic number, because the mean of its divisors is an integer number (107139639600).

Almost surely, 2^{10100000002120} is an apocalyptic number.

10100000002120 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 10100000002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13713873868800).

10100000002120 is an abundant number, since it is smaller than the sum of its proper divisors (17327747735480).

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

10100000002120 is a wasteful number, since it uses less digits than its factorization.

10100000002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5628 (or 5624 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10100000002120 its reverse (2120000000101), we get a palindrome (12220000002221).

The spelling of 10100000002120 in words is "ten trillion, one hundred billion, two thousand, one hundred twenty".