101011002212101 has 16 divisors (see below), whose sum is σ = 106388129612160. Its totient is φ = 95639965565760.

The previous prime is 101011002212089. The next prime is 101011002212119. The reversal of 101011002212101 is 101212200110101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101011002212101 - 2²⁷ = 101010867994373 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011002212501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248883000 + ... + 249288526.

It is an arithmetic number, because the mean of its divisors is an integer number (6649258100760).

Almost surely, 2^{101011002212101} is an apocalyptic number.

It is an amenable number.

101011002212101 is a deficient number, since it is larger than the sum of its proper divisors (5377127400059).

101011002212101 is a wasteful number, since it uses less digits than its factorization.

101011002212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413004.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101011002212101 its reverse (101212200110101), we get a palindrome (202223202322202).

The spelling of 101011002212101 in words is "one hundred one trillion, eleven billion, two million, two hundred twelve thousand, one hundred one".