101221102202121 has 24 divisors (see below), whose sum is σ = 159522813338304. Its totient is φ = 61337316886560.

The previous prime is 101221102202117. The next prime is 101221102202141. The reversal of 101221102202121 is 121202201122101.

101221102202121 is a `hidden beast` number, since 1 + 0 + 1 + 221 + 10 + 220 + 212 + 1 = 666.

It is not a de Polignac number, because 101221102202121 - 2² = 101221102202117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101221102202094 and 101221102202103.

It is not an unprimeable number, because it can be changed into a prime (101221102202141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72687286 + ... + 74066751.

It is an arithmetic number, because the mean of its divisors is an integer number (6646783889096).

Almost surely, 2^{101221102202121} is an apocalyptic number.

101221102202121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101221102202121 is a deficient number, since it is larger than the sum of its proper divisors (58301711136183).

101221102202121 is a wasteful number, since it uses less digits than its factorization.

101221102202121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146761021 (or 146761018 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101221102202121 its reverse (121202201122101), we get a palindrome (222423303324222).

The spelling of 101221102202121 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred two million, two hundred two thousand, one hundred twenty-one".