102102011000110 has 384 divisors, whose sum is σ = 214125733785600. Its totient is φ = 34756275671040.

The previous prime is 102102010999993. The next prime is 102102011000111. The reversal of 102102011000110 is 11000110201201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102102011000111) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 262473035796 + ... + 262473036184.

It is an arithmetic number, because the mean of its divisors is an integer number (557619098400).

Almost surely, 2^{102102011000110} is an apocalyptic number.

102102011000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102102011000110 is an abundant number, since it is smaller than the sum of its proper divisors (112023722785490).

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

102102011000110 is a wasteful number, since it uses less digits than its factorization.

102102011000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 945 counting only the distinct ones).

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

Adding to 102102011000110 its reverse (11000110201201), we get a palindrome (113102121201311).

The spelling of 102102011000110 in words is "one hundred two trillion, one hundred two billion, eleven million, one hundred ten", and thus it is an aban number.