121222120221001 has 128 divisors (see below), whose sum is σ = 143240638464000. Its totient is φ = 101959380633600.

The previous prime is 121222120220987. The next prime is 121222120221031. The reversal of 121222120221001 is 100122021222121.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-121222120221001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 121222120221001.

It is not an unprimeable number, because it can be changed into a prime (121222120221031) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10810849671 + ... + 10810860883.

It is an arithmetic number, because the mean of its divisors is an integer number (1119067488000).

Almost surely, 2^{121222120221001} is an apocalyptic number.

It is an amenable number.

121222120221001 is a deficient number, since it is larger than the sum of its proper divisors (22018518242999).

121222120221001 is a wasteful number, since it uses less digits than its factorization.

121222120221001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11735.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 121222120221001 its reverse (100122021222121), we get a palindrome (221344141443122).

The spelling of 121222120221001 in words is "one hundred twenty-one trillion, two hundred twenty-two billion, one hundred twenty million, two hundred twenty-one thousand, one".