121101132312210 has 128 divisors (see below), whose sum is σ = 310741034655744. Its totient is φ = 30133860261120.

The previous prime is 121101132312179. The next prime is 121101132312263. The reversal of 121101132312210 is 12213231101121.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3874200 + ... + 16037820.

It is an arithmetic number, because the mean of its divisors is an integer number (2427664333248).

Almost surely, 2^{121101132312210} is an apocalyptic number.

121101132312210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121101132312210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155370517327872).

121101132312210 is an abundant number, since it is smaller than the sum of its proper divisors (189639902343534).

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

121101132312210 is a wasteful number, since it uses less digits than its factorization.

121101132312210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12164008.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 121101132312210 its reverse (12213231101121), we get a palindrome (133314363413331).

The spelling of 121101132312210 in words is "one hundred twenty-one trillion, one hundred one billion, one hundred thirty-two million, three hundred twelve thousand, two hundred ten".