102110012000010 has 48 divisors (see below), whose sum is σ = 303412607087616. Its totient is φ = 23339431314144.

The previous prime is 102110011999999. The next prime is 102110012000021. The reversal of 102110012000010 is 10000210011201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102110011999999) and next prime (102110012000021).

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

It is a junction number, because it is equal to n+sod(n) for n = 102110011999956 and 102110012000001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81039691434 + ... + 81039692693.

It is an arithmetic number, because the mean of its divisors is an integer number (6321095980992).

Almost surely, 2^{102110012000010} is an apocalyptic number.

102110012000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102110012000010 is an abundant number, since it is smaller than the sum of its proper divisors (201302595087606).

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

102110012000010 is a wasteful number, since it uses less digits than its factorization.

102110012000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162079384147 (or 162079384144 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102110012000010 its reverse (10000210011201), we get a palindrome (112110222011211).

The spelling of 102110012000010 in words is "one hundred two trillion, one hundred ten billion, twelve million, ten", and thus it is an aban number.