101122221010101 has 16 divisors (see below), whose sum is σ = 144494266452864. Its totient is φ = 62740931482944.

The previous prime is 101122221010087. The next prime is 101122221010133. The reversal of 101122221010101 is 101010122221101.

It is a happy number.

It is not a de Polignac number, because 101122221010101 - 2⁷ = 101122221009973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122221010201) 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, 19804584406 + ... + 19804589511.

It is an arithmetic number, because the mean of its divisors is an integer number (9030891653304).

Almost surely, 2^{101122221010101} is an apocalyptic number.

It is an amenable number.

101122221010101 is a deficient number, since it is larger than the sum of its proper divisors (43372045442763).

101122221010101 is a wasteful number, since it uses less digits than its factorization.

101122221010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39609173980.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101122221010101 its reverse (101010122221101), we get a palindrome (202132343231202).

The spelling of 101122221010101 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred twenty-one million, ten thousand, one hundred one".