101144440312421 has 32 divisors (see below), whose sum is σ = 110982838756608. Its totient is φ = 91415063600640.

The previous prime is 101144440312417. The next prime is 101144440312439. The reversal of 101144440312421 is 124213044441101.

It is a cyclic number.

It is not a de Polignac number, because 101144440312421 - 2² = 101144440312417 is a prime.

It is a super-2 number, since 2×101144440312421² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101144440312411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2834986235 + ... + 2835021911.

It is an arithmetic number, because the mean of its divisors is an integer number (3468213711144).

Almost surely, 2^{101144440312421} is an apocalyptic number.

101144440312421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101144440312421 is a deficient number, since it is larger than the sum of its proper divisors (9838398444187).

101144440312421 is a wasteful number, since it uses less digits than its factorization.

101144440312421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38141.

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 101144440312421 its reverse (124213044441101), we get a palindrome (225357484753522).

The spelling of 101144440312421 in words is "one hundred one trillion, one hundred forty-four billion, four hundred forty million, three hundred twelve thousand, four hundred twenty-one".