121101020001 has 64 divisors (see below), whose sum is σ = 195784512000. Its totient is φ = 74451498624.

The previous prime is 121101019981. The next prime is 121101020023. The reversal of 121101020001 is 100020101121.

It is a happy number.

It is not a de Polignac number, because 121101020001 - 2¹⁵ = 121100987233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (121101020401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57969765 + ... + 57971853.

It is an arithmetic number, because the mean of its divisors is an integer number (3059133000).

Almost surely, 2^121101020001 is an apocalyptic number.

It is an amenable number.

121101020001 is a deficient number, since it is larger than the sum of its proper divisors (74683491999).

121101020001 is an equidigital number, since it uses as much as digits as its factorization.

121101020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4162 (or 4144 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 121101020001 its reverse (100020101121), we get a palindrome (221121121122).

The spelling of 121101020001 in words is "one hundred twenty-one billion, one hundred one million, twenty thousand, one".