101110321022130 has 384 divisors, whose sum is σ = 317987492659200. Its totient is φ = 21774808323072.

The previous prime is 101110321022099. The next prime is 101110321022189. The reversal of 101110321022130 is 31220123011101.

101110321022130 is a `hidden beast` number, since 10 + 1 + 110 + 321 + 0 + 221 + 3 + 0 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2773394862 + ... + 2773431318.

It is an arithmetic number, because the mean of its divisors is an integer number (828092428800).

Almost surely, 2^{101110321022130} is an apocalyptic number.

101110321022130 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 101110321022130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158993746329600).

101110321022130 is an abundant number, since it is smaller than the sum of its proper divisors (216877171637070).

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

101110321022130 is a wasteful number, since it uses less digits than its factorization.

101110321022130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37758 (or 37755 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101110321022130 its reverse (31220123011101), we get a palindrome (132330444033231).

The spelling of 101110321022130 in words is "one hundred one trillion, one hundred ten billion, three hundred twenty-one million, twenty-two thousand, one hundred thirty".