101012201011121 has 8 divisors (see below), whose sum is σ = 104309590978560. Its totient is φ = 97757914180752.

The previous prime is 101012201011093. The next prime is 101012201011181. The reversal of 101012201011121 is 121110102210101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101012201011121 is a prime.

It is a super-2 number, since 2×101012201011121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101012201011096 and 101012201011105.

It is not an unprimeable number, because it can be changed into a prime (101012201011181) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10775779505 + ... + 10775788878.

It is an arithmetic number, because the mean of its divisors is an integer number (13038698872320).

Almost surely, 2^{101012201011121} is an apocalyptic number.

It is an amenable number.

101012201011121 is a deficient number, since it is larger than the sum of its proper divisors (3297389967439).

101012201011121 is a wasteful number, since it uses less digits than its factorization.

101012201011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21551568535.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101012201011121 its reverse (121110102210101), we get a palindrome (222122303221222).

The spelling of 101012201011121 in words is "one hundred one trillion, twelve billion, two hundred one million, eleven thousand, one hundred twenty-one".