121102201121 has 24 divisors (see below), whose sum is σ = 140997736800. Its totient is φ = 103126351680.

The previous prime is 121102201021. The next prime is 121102201133.

121102201121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121102201121 - 2¹⁰ = 121102200097 is a prime.

It is a super-2 number, since 2×121102201121² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121102201096 and 121102201105.

It is not an unprimeable number, because it can be changed into a prime (121102201151) 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, 182090 + ... + 524748.

It is an arithmetic number, because the mean of its divisors is an integer number (5874905700).

Almost surely, 2^121102201121 is an apocalyptic number.

121102201121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121102201121 is a deficient number, since it is larger than the sum of its proper divisors (19895535679).

121102201121 is a wasteful number, since it uses less digits than its factorization.

121102201121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342797 (or 342778 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 121102 and 201121, that added together give a palindrome (322223).

The spelling of 121102201121 in words is "one hundred twenty-one billion, one hundred two million, two hundred one thousand, one hundred twenty-one".