102000210120 has 128 divisors (see below), whose sum is σ = 360000806400. Its totient is φ = 25600048128.

The previous prime is 102000210113. The next prime is 102000210127. The reversal of 102000210120 is 21012000201.

It is an interprime number because it is at equal distance from previous prime (102000210113) and next prime (102000210127).

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

It is not an unprimeable number, because it can be changed into a prime (102000210127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2759424 + ... + 2796143.

It is an arithmetic number, because the mean of its divisors is an integer number (2812506300).

Almost surely, 2^102000210120 is an apocalyptic number.

102000210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102000210120 is an abundant number, since it is smaller than the sum of its proper divisors (258000596280).

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

102000210120 is a wasteful number, since it uses less digits than its factorization.

102000210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5555604 (or 5555594 counting only the distinct ones).

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

Adding to 102000210120 its reverse (21012000201), we get a palindrome (123012210321).

The spelling of 102000210120 in words is "one hundred two billion, two hundred ten thousand, one hundred twenty".