101221216121061 has 6 divisors (see below), whose sum is σ = 146208423285990. Its totient is φ = 67480810747368.

The previous prime is 101221216121059. The next prime is 101221216121063. The reversal of 101221216121061 is 160121612122101.

101221216121061 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 21 + 21 + 612 + 1 + 0 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (101221216121059) and next prime (101221216121063).

It can be written as a sum of positive squares in only one way, i.e., 88471067680836 + 12750148440225 = 9405906^2 + 3570735^2 .

It is not a de Polignac number, because 101221216121061 - 2¹ = 101221216121059 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221216121063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5623400895606 + ... + 5623400895623.

It is an arithmetic number, because the mean of its divisors is an integer number (24368070547665).

Almost surely, 2^{101221216121061} is an apocalyptic number.

It is an amenable number.

101221216121061 is a deficient number, since it is larger than the sum of its proper divisors (44987207164929).

101221216121061 is a wasteful number, since it uses less digits than its factorization.

101221216121061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11246801791235 (or 11246801791232 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

Adding to 101221216121061 its reverse (160121612122101), we get a palindrome (261342828243162).

The spelling of 101221216121061 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred sixteen million, one hundred twenty-one thousand, sixty-one".