10221211012001 has 24 divisors (see below), whose sum is σ = 11532936038400. Its totient is φ = 9046447889600.

The previous prime is 10221211011997. The next prime is 10221211012003. The reversal of 10221211012001 is 10021011212201.

It is not a de Polignac number, because 10221211012001 - 2² = 10221211011997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10221211012003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225680 + ... + 4526958.

It is an arithmetic number, because the mean of its divisors is an integer number (480539001600).

Almost surely, 2^{10221211012001} is an apocalyptic number.

10221211012001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10221211012001 is a deficient number, since it is larger than the sum of its proper divisors (1311725026399).

10221211012001 is a wasteful number, since it uses less digits than its factorization.

10221211012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4301821 (or 4301810 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10221211012001 its reverse (10021011212201), we get a palindrome (20242222224202).

The spelling of 10221211012001 in words is "ten trillion, two hundred twenty-one billion, two hundred eleven million, twelve thousand, one".