102100210010110 has 96 divisors (see below), whose sum is σ = 211398941244960. Its totient is φ = 35284110057216.

The previous prime is 102100210010089. The next prime is 102100210010147. The reversal of 102100210010110 is 11010012001201.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9210745 + ... + 17001124.

It is an arithmetic number, because the mean of its divisors is an integer number (2202072304635).

Almost surely, 2^{102100210010110} is an apocalyptic number.

102100210010110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102100210010110 is an abundant number, since it is smaller than the sum of its proper divisors (109298731234850).

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

102100210010110 is a wasteful number, since it uses less digits than its factorization.

102100210010110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26212010 (or 26211991 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102100210010110 its reverse (11010012001201), we get a palindrome (113110222011311).

The spelling of 102100210010110 in words is "one hundred two trillion, one hundred billion, two hundred ten million, ten thousand, one hundred ten".