1022100031001 has 16 divisors (see below), whose sum is σ = 1188191383680. Its totient is φ = 861034907520.

The previous prime is 1022100030983. The next prime is 1022100031013. The reversal of 1022100031001 is 1001300012201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1022100031001 is a prime.

It is a super-3 number, since 3×1022100031001³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1022100031081) 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, 1486691 + ... + 2062631.

It is an arithmetic number, because the mean of its divisors is an integer number (74261961480).

Almost surely, 2^{1022100031001} is an apocalyptic number.

It is an amenable number.

1022100031001 is a deficient number, since it is larger than the sum of its proper divisors (166091352679).

1022100031001 is an equidigital number, since it uses as much as digits as its factorization.

1022100031001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580304.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 1022100031001 its reverse (1001300012201), we get a palindrome (2023400043202).

The spelling of 1022100031001 in words is "one trillion, twenty-two billion, one hundred million, thirty-one thousand, one".