101220100101121 has 16 divisors (see below), whose sum is σ = 108089537840640. Its totient is φ = 94576012755840.

The previous prime is 101220100101119. The next prime is 101220100101163. The reversal of 101220100101121 is 121101001022101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101220100101121 - 2¹ = 101220100101119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101220100108121) 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 15 ways as a sum of consecutive naturals, for example, 77082765 + ... + 78384901.

It is an arithmetic number, because the mean of its divisors is an integer number (6755596115040).

Almost surely, 2^{101220100101121} is an apocalyptic number.

It is an amenable number.

101220100101121 is a deficient number, since it is larger than the sum of its proper divisors (6869437739519).

101220100101121 is a wasteful number, since it uses less digits than its factorization.

101220100101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388664.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101220100101121 its reverse (121101001022101), we get a palindrome (222321101123222).

The spelling of 101220100101121 in words is "one hundred one trillion, two hundred twenty billion, one hundred million, one hundred one thousand, one hundred twenty-one".