121120010100001 has 16 divisors (see below), whose sum is σ = 133140648630528. Its totient is φ = 109267673491600.

The previous prime is 121120010099987. The next prime is 121120010100013. The reversal of 121120010100001 is 100001010021121.

It is a cyclic number.

It is not a de Polignac number, because 121120010100001 - 2¹³ = 121120010091809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121120010100601) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 226412226 + ... + 226946548.

It is an arithmetic number, because the mean of its divisors is an integer number (8321290539408).

Almost surely, 2^{121120010100001} is an apocalyptic number.

121120010100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121120010100001 is a deficient number, since it is larger than the sum of its proper divisors (12020638530527).

121120010100001 is a wasteful number, since it uses less digits than its factorization.

121120010100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691772.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 121120010100001 its reverse (100001010021121), we get a palindrome (221121020121122).

The spelling of 121120010100001 in words is "one hundred twenty-one trillion, one hundred twenty billion, ten million, one hundred thousand, one".