121122100101001 has 4 divisors (see below), whose sum is σ = 122655291241600. Its totient is φ = 119588908960404.

The previous prime is 121122100100959. The next prime is 121122100101031. The reversal of 121122100101001 is 100101001221121.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 121122100101001 - 2¹³ = 121122100092809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121122100101031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 766595570181 + ... + 766595570338.

It is an arithmetic number, because the mean of its divisors is an integer number (30663822810400).

Almost surely, 2^{121122100101001} is an apocalyptic number.

It is an amenable number.

121122100101001 is a deficient number, since it is larger than the sum of its proper divisors (1533191140599).

121122100101001 is an equidigital number, since it uses as much as digits as its factorization.

121122100101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533191140598.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 121122100101001 its reverse (100101001221121), we get a palindrome (221223101322122).

The spelling of 121122100101001 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred million, one hundred one thousand, one".