101022220101001 has 32 divisors (see below), whose sum is σ = 111118295059200. Its totient is φ = 91415499356160.

The previous prime is 101022220100951. The next prime is 101022220101007. The reversal of 101022220101001 is 100101022220101.

It is a cyclic number.

It is not a de Polignac number, because 101022220101001 - 2¹³ = 101022220092809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101022220101007) 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, 326715810 + ... + 327024868.

It is an arithmetic number, because the mean of its divisors is an integer number (3472446720600).

Almost surely, 2^{101022220101001} is an apocalyptic number.

It is an amenable number.

101022220101001 is a deficient number, since it is larger than the sum of its proper divisors (10096074958199).

101022220101001 is a wasteful number, since it uses less digits than its factorization.

101022220101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311889.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101022220101001 its reverse (100101022220101), we get a palindrome (201123242321102).

The spelling of 101022220101001 in words is "one hundred one trillion, twenty-two billion, two hundred twenty million, one hundred one thousand, one".