101010122221101 has 16 divisors (see below), whose sum is σ = 138322493631744. Its totient is φ = 65518977363264.

The previous prime is 101010122221037. The next prime is 101010122221123. The reversal of 101010122221101 is 101122221010101.

It is a happy number.

It is not a de Polignac number, because 101010122221101 - 2⁶ = 101010122221037 is a prime.

It is a super-2 number, since 2×101010122221101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010122221301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 996421 + ... + 14248266.

It is an arithmetic number, because the mean of its divisors is an integer number (8645155851984).

Almost surely, 2^{101010122221101} is an apocalyptic number.

It is an amenable number.

101010122221101 is a deficient number, since it is larger than the sum of its proper divisors (37312371410643).

101010122221101 is a wasteful number, since it uses less digits than its factorization.

101010122221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15304420.

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

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

The spelling of 101010122221101 in words is "one hundred one trillion, ten billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred one".