101022122201 has 32 divisors (see below), whose sum is σ = 135729893376. Its totient is φ = 72614088000.

The previous prime is 101022122183. The next prime is 101022122203. The reversal of 101022122201 is 102221220101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101022122201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101022122203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1479116 + ... + 1545906.

It is an arithmetic number, because the mean of its divisors is an integer number (4241559168).

Almost surely, 2^101022122201 is an apocalyptic number.

101022122201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101022122201 is a deficient number, since it is larger than the sum of its proper divisors (34707771175).

101022122201 is a wasteful number, since it uses less digits than its factorization.

101022122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68333.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101022122201 its reverse (102221220101), we get a palindrome (203243342302).

The spelling of 101022122201 in words is "one hundred one billion, twenty-two million, one hundred twenty-two thousand, two hundred one".