101112251130 has 128 divisors (see below), whose sum is σ = 294394694400. Its totient is φ = 24491232000.

The previous prime is 101112251111. The next prime is 101112251131. The reversal of 101112251130 is 31152211101.

101112251130 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 122 + 511 + 30 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (101112251131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3636280 + ... + 3663980.

It is an arithmetic number, because the mean of its divisors is an integer number (2299958550).

Almost surely, 2^101112251130 is an apocalyptic number.

101112251130 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 101112251130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147197347200).

101112251130 is an abundant number, since it is smaller than the sum of its proper divisors (193282443270).

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

101112251130 is a wasteful number, since it uses less digits than its factorization.

101112251130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28957 (or 28951 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

Adding to 101112251130 its reverse (31152211101), we get a palindrome (132264462231).

The spelling of 101112251130 in words is "one hundred one billion, one hundred twelve million, two hundred fifty-one thousand, one hundred thirty".