101162636130 has 128 divisors (see below), whose sum is σ = 258121728000. Its totient is φ = 25302461184.

The previous prime is 101162636123. The next prime is 101162636143. The reversal of 101162636130 is 31636261101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43360444 + ... + 43362776.

It is an arithmetic number, because the mean of its divisors is an integer number (2016576000).

Almost surely, 2^101162636130 is an apocalyptic number.

101162636130 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 101162636130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129060864000).

101162636130 is an abundant number, since it is smaller than the sum of its proper divisors (156959091870).

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

101162636130 is a wasteful number, since it uses less digits than its factorization.

101162636130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088.

The product of its (nonzero) digits is 3888, while the sum is 30.

Adding to 101162636130 its reverse (31636261101), we get a palindrome (132798897231).

The spelling of 101162636130 in words is "one hundred one billion, one hundred sixty-two million, six hundred thirty-six thousand, one hundred thirty".