100102054136 has 96 divisors (see below), whose sum is σ = 220325086800. Its totient is φ = 42510988800.

The previous prime is 100102054127. The next prime is 100102054139. The reversal of 100102054136 is 631450201001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102054139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37645175 + ... + 37647833.

Almost surely, 2^100102054136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100102054136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110162543400).

100102054136 is an abundant number, since it is smaller than the sum of its proper divisors (120223032664).

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

100102054136 is a wasteful number, since it uses less digits than its factorization.

100102054136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3517 (or 3506 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 100102054136 its reverse (631450201001), we get a palindrome (731552255137).

The spelling of 100102054136 in words is "one hundred billion, one hundred two million, fifty-four thousand, one hundred thirty-six".