101121012112 has 120 divisors (see below), whose sum is σ = 212400762624. Its totient is φ = 46519875072.

The previous prime is 101121012107. The next prime is 101121012149. The reversal of 101121012112 is 211210121101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101121012092 and 101121012101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357317923 + ... + 357318205.

Almost surely, 2^101121012112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101121012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106200381312).

101121012112 is an abundant number, since it is smaller than the sum of its proper divisors (111279750512).

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

101121012112 is an equidigital number, since it uses as much as digits as its factorization.

101121012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101121012112 its reverse (211210121101), we get a palindrome (312331133213).

The spelling of 101121012112 in words is "one hundred one billion, one hundred twenty-one million, twelve thousand, one hundred twelve".