102001002010120 has 32 divisors (see below), whose sum is σ = 235099870490520. Its totient is φ = 39805269076480.

The previous prime is 102001002010051. The next prime is 102001002010153. The reversal of 102001002010120 is 21010200100201.

It can be written as a sum of positive squares in 4 ways, for example, as 41078075371524 + 60922926638596 = 6409218^2 + 7805314^2 .

It is a super-2 number, since 2×102001002010120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102001002010097 and 102001002010106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31097864827 + ... + 31097868106.

Almost surely, 2^{102001002010120} is an apocalyptic number.

102001002010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001002010120 is an abundant number, since it is smaller than the sum of its proper divisors (133098868480400).

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

102001002010120 is a wasteful number, since it uses less digits than its factorization.

102001002010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62195732985 (or 62195732981 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102001002010120 its reverse (21010200100201), we get a palindrome (123011202110321).

The spelling of 102001002010120 in words is "one hundred two trillion, one billion, two million, ten thousand, one hundred twenty".