101144312111310 has 64 divisors (see below), whose sum is σ = 270433598460480. Its totient is φ = 24038542080000.

The previous prime is 101144312111251. The next prime is 101144312111333. The reversal of 101144312111310 is 13111213441101.

It is a super-2 number, since 2×101144312111310² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4471443691 + ... + 4471466310.

It is an arithmetic number, because the mean of its divisors is an integer number (4225524975945).

Almost surely, 2^{101144312111310} is an apocalyptic number.

101144312111310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101144312111310 is an abundant number, since it is smaller than the sum of its proper divisors (169289286349170).

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

101144312111310 is a wasteful number, since it uses less digits than its factorization.

101144312111310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8942910053.

The product of its (nonzero) digits is 288, while the sum is 24.

Adding to 101144312111310 its reverse (13111213441101), we get a palindrome (114255525552411).

The spelling of 101144312111310 in words is "one hundred one trillion, one hundred forty-four billion, three hundred twelve million, one hundred eleven thousand, three hundred ten".