100102112130 has 256 divisors, whose sum is σ = 265308825600. Its totient is φ = 24106844160.

The previous prime is 100102112107. The next prime is 100102112179. The reversal of 100102112130 is 31211201001.

It is a super-4 number, since 4×100102112130⁴ (a number of 45 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 96344151 + ... + 96345189.

It is an arithmetic number, because the mean of its divisors is an integer number (1036362600).

Almost surely, 2^100102112130 is an apocalyptic number.

100102112130 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 100102112130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132654412800).

100102112130 is an abundant number, since it is smaller than the sum of its proper divisors (165206713470).

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

100102112130 is a wasteful number, since it uses less digits than its factorization.

100102112130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 100102112130 its reverse (31211201001), we get a palindrome (131313313131).

The spelling of 100102112130 in words is "one hundred billion, one hundred two million, one hundred twelve thousand, one hundred thirty".