101010111112121 has 4 divisors (see below), whose sum is σ = 102010211222244. Its totient is φ = 100010011002000.

The previous prime is 101010111112109. The next prime is 101010111112193. The reversal of 101010111112121 is 121211111010101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 97486002250000 + 3524108862121 = 9873500^2 + 1877261^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101010111112121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101010111112096 and 101010111112105.

It is not an unprimeable number, because it can be changed into a prime (101010111192121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 500050054910 + ... + 500050055111.

It is an arithmetic number, because the mean of its divisors is an integer number (25502552805561).

Almost surely, 2^{101010111112121} is an apocalyptic number.

It is an amenable number.

101010111112121 is a deficient number, since it is larger than the sum of its proper divisors (1000100110123).

101010111112121 is a wasteful number, since it uses less digits than its factorization.

101010111112121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000100110122.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 101010111112121 its reverse (121211111010101), we get a palindrome (222221222122222).

The spelling of 101010111112121 in words is "one hundred one trillion, ten billion, one hundred eleven million, one hundred twelve thousand, one hundred twenty-one".