101242140122130 has 256 divisors, whose sum is σ = 282697617162240. Its totient is φ = 22726825592832.

The previous prime is 101242140122113. The next prime is 101242140122143. The reversal of 101242140122130 is 31221041242101.

It is a self number, because there is not a number n which added to its sum of digits gives 101242140122130.

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 127 ways as a sum of consecutive naturals, for example, 5655028759 + ... + 5655046661.

It is an arithmetic number, because the mean of its divisors is an integer number (1104287567040).

Almost surely, 2^{101242140122130} is an apocalyptic number.

101242140122130 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 101242140122130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141348808581120).

101242140122130 is an abundant number, since it is smaller than the sum of its proper divisors (181455477040110).

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

101242140122130 is a wasteful number, since it uses less digits than its factorization.

101242140122130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19545.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 101242140122130 its reverse (31221041242101), we get a palindrome (132463181364231).

The spelling of 101242140122130 in words is "one hundred one trillion, two hundred forty-two billion, one hundred forty million, one hundred twenty-two thousand, one hundred thirty".