1021022102001 has 64 divisors (see below), whose sum is σ = 1518769161216. Its totient is φ = 604945843200.

The previous prime is 1021022101997. The next prime is 1021022102027. The reversal of 1021022102001 is 1002012201201.

It is not a de Polignac number, because 1021022102001 - 2² = 1021022101997 is a prime.

It is a super-2 number, since 2×1021022102001² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1021022104001) 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 63 ways as a sum of consecutive naturals, for example, 259734006 + ... + 259737936.

It is an arithmetic number, because the mean of its divisors is an integer number (23730768144).

Almost surely, 2^{1021022102001} is an apocalyptic number.

1021022102001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1021022102001 is a deficient number, since it is larger than the sum of its proper divisors (497747059215).

1021022102001 is a wasteful number, since it uses less digits than its factorization.

1021022102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4942.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1021022102001 its reverse (1002012201201), we get a palindrome (2023034303202).

The spelling of 1021022102001 in words is "one trillion, twenty-one billion, twenty-two million, one hundred two thousand, one".