121201222100101 has 96 divisors (see below), whose sum is σ = 151842867394176. Its totient is φ = 95352500160000.

The previous prime is 121201222100089. The next prime is 121201222100213. The reversal of 121201222100101 is 101001222102121.

It is not a de Polignac number, because 121201222100101 - 2²⁹ = 121200685229189 is a prime.

It is a super-2 number, since 2×121201222100101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121201222106101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13331996566 + ... + 13332005656.

It is an arithmetic number, because the mean of its divisors is an integer number (1581696535356).

Almost surely, 2^{121201222100101} is an apocalyptic number.

121201222100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121201222100101 is a deficient number, since it is larger than the sum of its proper divisors (30641645294075).

121201222100101 is a wasteful number, since it uses less digits than its factorization.

121201222100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11811 (or 11792 counting only the distinct ones).

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

Adding to 121201222100101 its reverse (101001222102121), we get a palindrome (222202444202222).

It can be divided in two parts, 12120 and 1222100101, that added together give a palindrome (1222112221).

The spelling of 121201222100101 in words is "one hundred twenty-one trillion, two hundred one billion, two hundred twenty-two million, one hundred thousand, one hundred one".