100134131202 has 288 divisors, whose sum is σ = 267029747712. Its totient is φ = 28037270016.

The previous prime is 100134131183. The next prime is 100134131219. The reversal of 100134131202 is 202131431001.

100134131202 is a `hidden beast` number, since 10 + 0 + 1 + 341 + 312 + 0 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 341754568 + ... + 341754860.

It is an arithmetic number, because the mean of its divisors is an integer number (927186624).

Almost surely, 2^100134131202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100134131202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133514873856).

100134131202 is an abundant number, since it is smaller than the sum of its proper divisors (166895616510).

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

100134131202 is a wasteful number, since it uses less digits than its factorization.

100134131202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 545 counting only the distinct ones).

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

Adding to 100134131202 its reverse (202131431001), we get a palindrome (302265562203).

The spelling of 100134131202 in words is "one hundred billion, one hundred thirty-four million, one hundred thirty-one thousand, two hundred two".