101122020221101 has 192 divisors, whose sum is σ = 123346430484480. Its totient is φ = 82508025600000.

The previous prime is 101122020221041. The next prime is 101122020221147.

101122020221101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101122020221101 - 2⁷ = 101122020220973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122020251101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 124688063986 + ... + 124688064796.

It is an arithmetic number, because the mean of its divisors is an integer number (642429325440).

Almost surely, 2^{101122020221101} is an apocalyptic number.

101122020221101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101122020221101 is a deficient number, since it is larger than the sum of its proper divisors (22224410263379).

101122020221101 is a wasteful number, since it uses less digits than its factorization.

101122020221101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

The spelling of 101122020221101 in words is "one hundred one trillion, one hundred twenty-two billion, twenty million, two hundred twenty-one thousand, one hundred one".