1020121201001 has 16 divisors (see below), whose sum is σ = 1168290864000. Its totient is φ = 872561493888.

The previous prime is 1020121200949. The next prime is 1020121201003. The reversal of 1020121201001 is 1001021210201.

It is not a de Polignac number, because 1020121201001 - 2²² = 1020117006697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020121201003) 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, 41671301 + ... + 41695773.

It is an arithmetic number, because the mean of its divisors is an integer number (73018179000).

Almost surely, 2^{1020121201001} is an apocalyptic number.

It is an amenable number.

1020121201001 is a deficient number, since it is larger than the sum of its proper divisors (148169662999).

1020121201001 is a wasteful number, since it uses less digits than its factorization.

1020121201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36688.

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

Adding to 1020121201001 its reverse (1001021210201), we get a palindrome (2021142411202).

The spelling of 1020121201001 in words is "one trillion, twenty billion, one hundred twenty-one million, two hundred one thousand, one".