101102122213221 has 32 divisors (see below), whose sum is σ = 137301988999168. Its totient is φ = 66156569519040.

The previous prime is 101102122213181. The next prime is 101102122213223. The reversal of 101102122213221 is 122312221201101.

It is not a de Polignac number, because 101102122213221 - 2⁷ = 101102122213093 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 (101102122213223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358520940 + ... + 358802826.

It is an arithmetic number, because the mean of its divisors is an integer number (4290687156224).

Almost surely, 2^{101102122213221} is an apocalyptic number.

It is an amenable number.

101102122213221 is a deficient number, since it is larger than the sum of its proper divisors (36199866785947).

101102122213221 is a wasteful number, since it uses less digits than its factorization.

101102122213221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286081.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 101102122213221 its reverse (122312221201101), we get a palindrome (223414343414322).

The spelling of 101102122213221 in words is "one hundred one trillion, one hundred two billion, one hundred twenty-two million, two hundred thirteen thousand, two hundred twenty-one".