101122220020101 has 16 divisors (see below), whose sum is σ = 154092102255744. Its totient is φ = 57783713105664.

The previous prime is 101122220020091. The next prime is 101122220020121. The reversal of 101122220020101 is 101020022221101.

It is not a de Polignac number, because 101122220020101 - 2¹⁵ = 101122219987333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122220020121) 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, 14169240 + ... + 20075153.

It is an arithmetic number, because the mean of its divisors is an integer number (9630756390984).

Almost surely, 2^{101122220020101} is an apocalyptic number.

It is an amenable number.

101122220020101 is a deficient number, since it is larger than the sum of its proper divisors (52969882235643).

101122220020101 is a wasteful number, since it uses less digits than its factorization.

101122220020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34385020.

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

Adding to 101122220020101 its reverse (101020022221101), we get a palindrome (202142242241202).

The spelling of 101122220020101 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred twenty million, twenty thousand, one hundred one".