1022121010001 has 48 divisors (see below), whose sum is σ = 1330558387200. Its totient is φ = 777319949952.

The previous prime is 1022121009967. The next prime is 1022121010019. The reversal of 1022121010001 is 1000101212201.

It is not a de Polignac number, because 1022121010001 - 2⁶ = 1022121009937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1022121010061) 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 47 ways as a sum of consecutive naturals, for example, 3995420 + ... + 4243538.

It is an arithmetic number, because the mean of its divisors is an integer number (27719966400).

Almost surely, 2^{1022121010001} is an apocalyptic number.

It is an amenable number.

1022121010001 is a deficient number, since it is larger than the sum of its proper divisors (308437377199).

1022121010001 is a wasteful number, since it uses less digits than its factorization.

1022121010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248398 (or 248391 counting only the distinct ones).

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

Adding to 1022121010001 its reverse (1000101212201), we get a palindrome (2022222222202).

The spelling of 1022121010001 in words is "one trillion, twenty-two billion, one hundred twenty-one million, ten thousand, one".