10100002001120 has 48 divisors (see below), whose sum is σ = 23861506752720. Its totient is φ = 4039958129664.

The previous prime is 10100002001069. The next prime is 10100002001191. The reversal of 10100002001120 is 2110020000101.

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

It is a junction number, because it is equal to n+sod(n) for n = 10100002001098 and 10100002001107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18005204 + ... + 18557676.

It is an arithmetic number, because the mean of its divisors is an integer number (497114724015).

Almost surely, 2^{10100002001120} is an apocalyptic number.

10100002001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100002001120 is an abundant number, since it is smaller than the sum of its proper divisors (13761504751600).

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

10100002001120 is a wasteful number, since it uses less digits than its factorization.

10100002001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666747 (or 666739 counting only the distinct ones).

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

Adding to 10100002001120 its reverse (2110020000101), we get a palindrome (12210022001221).

The spelling of 10100002001120 in words is "ten trillion, one hundred billion, two million, one thousand, one hundred twenty".