121122101121210 has 128 divisors (see below), whose sum is σ = 369370807603200. Its totient is φ = 27667292800320.

The previous prime is 121122101121181. The next prime is 121122101121221. The reversal of 121122101121210 is 12121101221121.

It is a happy number.

121122101121210 is a `hidden beast` number, since 1 + 211 + 2 + 210 + 11 + 21 + 210 = 666.

It is a super-2 number, since 2×121122101121210² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17606976 + ... + 23499995.

It is an arithmetic number, because the mean of its divisors is an integer number (2885709434400).

Almost surely, 2^{121122101121210} is an apocalyptic number.

121122101121210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121122101121210 is an abundant number, since it is smaller than the sum of its proper divisors (248248706481990).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121122101121210 is a wasteful number, since it uses less digits than its factorization.

121122101121210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41108553 (or 41108547 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 121122101121210 its reverse (12121101221121), we get a palindrome (133243202342331).

The spelling of 121122101121210 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred one million, one hundred twenty-one thousand, two hundred ten".