101031130144410 has 128 divisors (see below), whose sum is σ = 246673746468864. Its totient is φ = 26477780152320.

The previous prime is 101031130144387. The next prime is 101031130144411. The reversal of 101031130144410 is 14441031130101.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101031130144411) 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, 1750124967 + ... + 1750182693.

It is an arithmetic number, because the mean of its divisors is an integer number (1927138644288).

Almost surely, 2^{101031130144410} is an apocalyptic number.

101031130144410 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 101031130144410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123336873234432).

101031130144410 is an abundant number, since it is smaller than the sum of its proper divisors (145642616324454).

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

101031130144410 is a wasteful number, since it uses less digits than its factorization.

101031130144410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60648.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 101031130144410 its reverse (14441031130101), we get a palindrome (115472161274511).

The spelling of 101031130144410 in words is "one hundred one trillion, thirty-one billion, one hundred thirty million, one hundred forty-four thousand, four hundred ten".