101121121012112 has 60 divisors (see below), whose sum is σ = 202528252884528. Its totient is φ = 48909722702400.

The previous prime is 101121121012049. The next prime is 101121121012127. The reversal of 101121121012112 is 211210121121101.

101121121012112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101121121012112² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36599687 + ... + 39265497.

Almost surely, 2^{101121121012112} 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 101121121012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101264126442264).

101121121012112 is an abundant number, since it is smaller than the sum of its proper divisors (101407131872416).

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

101121121012112 is a wasteful number, since it uses less digits than its factorization.

101121121012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2668348 (or 2668311 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 101121121012112 its reverse (211210121121101), we get a palindrome (312331242133213).

The spelling of 101121121012112 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred twenty-one million, twelve thousand, one hundred twelve".