1020121012001 has 128 divisors (see below), whose sum is σ = 1435866808320. Its totient is φ = 701038374912.

The previous prime is 1020121011997. The next prime is 1020121012007. The reversal of 1020121012001 is 1002101210201.

It is a cyclic number.

It is not a de Polignac number, because 1020121012001 - 2² = 1020121011997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1020121012007) 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, 313592291 + ... + 313595543.

It is an arithmetic number, because the mean of its divisors is an integer number (11217709440).

Almost surely, 2^{1020121012001} is an apocalyptic number.

It is an amenable number.

1020121012001 is a deficient number, since it is larger than the sum of its proper divisors (415745796319).

1020121012001 is a wasteful number, since it uses less digits than its factorization.

1020121012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3583.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1020121012001 its reverse (1002101210201), we get a palindrome (2022222222202).

The spelling of 1020121012001 in words is "one trillion, twenty billion, one hundred twenty-one million, twelve thousand, one".