102101311323102 has 128 divisors (see below), whose sum is σ = 259451049811968. Its totient is φ = 26057426803200.

The previous prime is 102101311323097. The next prime is 102101311323107. The reversal of 102101311323102 is 201323113101201.

It is an interprime number because it is at equal distance from previous prime (102101311323097) and next prime (102101311323107).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101311323107) 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, 261497808 + ... + 261887964.

It is an arithmetic number, because the mean of its divisors is an integer number (2026961326656).

Almost surely, 2^{102101311323102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102101311323102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129725524905984).

102101311323102 is an abundant number, since it is smaller than the sum of its proper divisors (157349738488866).

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

102101311323102 is a wasteful number, since it uses less digits than its factorization.

102101311323102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405674.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 102101311323102 its reverse (201323113101201), we get a palindrome (303424424424303).

The spelling of 102101311323102 in words is "one hundred two trillion, one hundred one billion, three hundred eleven million, three hundred twenty-three thousand, one hundred two".