101000022114213 has 24 divisors (see below), whose sum is σ = 147115570938336. Its totient is φ = 66767992044000.

The previous prime is 101000022114193. The next prime is 101000022114247. The reversal of 101000022114213 is 312411220000101.

101000022114213 is a `hidden beast` number, since 10 + 10 + 0 + 0 + 0 + 221 + 1 + 421 + 3 = 666.

It is not a de Polignac number, because 101000022114213 - 2¹⁴ = 101000022097829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000022114113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31389195 + ... + 34456952.

It is an arithmetic number, because the mean of its divisors is an integer number (6129815455764).

Almost surely, 2^{101000022114213} is an apocalyptic number.

It is an amenable number.

101000022114213 is a deficient number, since it is larger than the sum of its proper divisors (46115548824123).

101000022114213 is a wasteful number, since it uses less digits than its factorization.

101000022114213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65847585 (or 65847582 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101000022114213 its reverse (312411220000101), we get a palindrome (413411242114314).

The spelling of 101000022114213 in words is "one hundred one trillion, twenty-two million, one hundred fourteen thousand, two hundred thirteen".