102101102132310 has 384 divisors, whose sum is σ = 284713543296000. Its totient is φ = 25311981081600.

The previous prime is 102101102132269. The next prime is 102101102132321. The reversal of 102101102132310 is 13231201101201.

102101102132310 is a `hidden beast` number, since 1 + 0 + 210 + 1 + 10 + 2 + 132 + 310 = 666.

It is a super-2 number, since 2×102101102132310² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12532351657 + ... + 12532359803.

It is an arithmetic number, because the mean of its divisors is an integer number (741441519000).

Almost surely, 2^{102101102132310} is an apocalyptic number.

102101102132310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102101102132310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142356771648000).

102101102132310 is an abundant number, since it is smaller than the sum of its proper divisors (182612441163690).

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

102101102132310 is a wasteful number, since it uses less digits than its factorization.

102101102132310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8916 (or 8913 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 102101102132310 its reverse (13231201101201), we get a palindrome (115332303233511).

The spelling of 102101102132310 in words is "one hundred two trillion, one hundred one billion, one hundred two million, one hundred thirty-two thousand, three hundred ten".