120121201110001 has 96 divisors (see below), whose sum is σ = 152694635950080. Its totient is φ = 92481444237312.

The previous prime is 120121201109983. The next prime is 120121201110011. The reversal of 120121201110001 is 100011102121021.

It is a happy number.

It is not a de Polignac number, because 120121201110001 - 2²¹ = 120121199012849 is a prime.

It is a super-2 number, since 2×120121201110001² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (120121201110011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33942129090 + ... + 33942132628.

It is an arithmetic number, because the mean of its divisors is an integer number (1590569124480).

Almost surely, 2^{120121201110001} is an apocalyptic number.

It is an amenable number.

120121201110001 is a deficient number, since it is larger than the sum of its proper divisors (32573434840079).

120121201110001 is a wasteful number, since it uses less digits than its factorization.

120121201110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6975 (or 6962 counting only the distinct ones).

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

Adding to 120121201110001 its reverse (100011102121021), we get a palindrome (220132303231022).

The spelling of 120121201110001 in words is "one hundred twenty trillion, one hundred twenty-one billion, two hundred one million, one hundred ten thousand, one".