102110010002000 has 320 divisors, whose sum is σ = 331504795335168. Its totient is φ = 29378304000000.

The previous prime is 102110010001991. The next prime is 102110010002009. The reversal of 102110010002000 is 200010011201.

It is an interprime number because it is at equal distance from previous prime (102110010001991) and next prime (102110010002009).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102110010002009) 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, 23500001 + ... + 27504000.

Almost surely, 2^{102110010002000} is an apocalyptic number.

102110010002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102110010002000 is an abundant number, since it is smaller than the sum of its proper divisors (229394785333168).

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

102110010002000 is a wasteful number, since it uses less digits than its factorization.

102110010002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51004055 (or 51004039 counting only the distinct ones).

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

Adding to 102110010002000 its reverse (200010011201), we get a palindrome (102310020013201).

The spelling of 102110010002000 in words is "one hundred two trillion, one hundred ten billion, ten million, two thousand".