102110022221001 has 16 divisors (see below), whose sum is σ = 146306897515584. Its totient is φ = 63112779316224.

The previous prime is 102110022220961. The next prime is 102110022221021. The reversal of 102110022221001 is 100122220011201.

It is not a de Polignac number, because 102110022221001 - 2⁹ = 102110022220489 is a prime.

It is a super-4 number, since 4×102110022221001⁴ (a number of 57 digits) contains 4444 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102110022221021) 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, 14941468960 + ... + 14941475793.

It is an arithmetic number, because the mean of its divisors is an integer number (9144181094724).

Almost surely, 2^{102110022221001} is an apocalyptic number.

It is an amenable number.

102110022221001 is a deficient number, since it is larger than the sum of its proper divisors (44196875294583).

102110022221001 is a wasteful number, since it uses less digits than its factorization.

102110022221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29882944840.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102110022221001 its reverse (100122220011201), we get a palindrome (202232242232202).

The spelling of 102110022221001 in words is "one hundred two trillion, one hundred ten billion, twenty-two million, two hundred twenty-one thousand, one".