102232000311102 has 96 divisors (see below), whose sum is σ = 234982202364000. Its totient is φ = 32065199738880.

The previous prime is 102232000311079. The next prime is 102232000311107. The reversal of 102232000311102 is 201113000232201.

102232000311102 is a `hidden beast` number, since 1 + 0 + 22 + 320 + 0 + 0 + 311 + 10 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102232000311107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17311549 + ... + 22453367.

It is an arithmetic number, because the mean of its divisors is an integer number (2447731274625).

Almost surely, 2^{102232000311102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102232000311102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117491101182000).

102232000311102 is an abundant number, since it is smaller than the sum of its proper divisors (132750202052898).

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

102232000311102 is a wasteful number, since it uses less digits than its factorization.

102232000311102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5142826 (or 5142823 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102232000311102 its reverse (201113000232201), we get a palindrome (303345000543303).

The spelling of 102232000311102 in words is "one hundred two trillion, two hundred thirty-two billion, three hundred eleven thousand, one hundred two".