102001002120 has 96 divisors (see below), whose sum is σ = 339588751320. Its totient is φ = 26536842240.

The previous prime is 102001002107. The next prime is 102001002157. The reversal of 102001002120 is 21200100201.

It can be written as a sum of positive squares in 4 ways, for example, as 24751470276 + 77249531844 = 157326^2 + 277938^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3440559 + ... + 3470078.

Almost surely, 2^102001002120 is an apocalyptic number.

102001002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001002120 is an abundant number, since it is smaller than the sum of its proper divisors (237587749200).

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

102001002120 is a wasteful number, since it uses less digits than its factorization.

102001002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6910695 (or 6910688 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102001002120 its reverse (21200100201), we get a palindrome (123201102321).

The spelling of 102001002120 in words is "one hundred two billion, one million, two thousand, one hundred twenty".