101112120321 has 16 divisors (see below), whose sum is σ = 136221517824. Its totient is φ = 66705560064.

The previous prime is 101112120299. The next prime is 101112120353. The reversal of 101112120321 is 123021211101.

It is not a de Polignac number, because 101112120321 - 2⁶ = 101112120257 is a prime.

It is a super-2 number, since 2×101112120321² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101112120321.

It is not an unprimeable number, because it can be changed into a prime (101112121321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3823075 + ... + 3849431.

It is an arithmetic number, because the mean of its divisors is an integer number (8513844864).

Almost surely, 2^101112120321 is an apocalyptic number.

It is an amenable number.

101112120321 is a deficient number, since it is larger than the sum of its proper divisors (35109397503).

101112120321 is a wasteful number, since it uses less digits than its factorization.

101112120321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39640.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 101112120321 its reverse (123021211101), we get a palindrome (224133331422).

The spelling of 101112120321 in words is "one hundred one billion, one hundred twelve million, one hundred twenty thousand, three hundred twenty-one".