1022100000021 has 12 divisors (see below), whose sum is σ = 1563211764972. Its totient is φ = 641317646976.

The previous prime is 1022099999993. The next prime is 1022100000067. The reversal of 1022100000021 is 1200000012201.

It can be written as a sum of positive squares in 2 ways, for example, as 388347080625 + 633752919396 = 623175^2 + 796086^2 .

It is not a de Polignac number, because 1022100000021 - 2¹¹ = 1022099997973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1022099999949 and 1022100000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022100000421) 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 11 ways as a sum of consecutive naturals, for example, 3340195926 + ... + 3340196231.

It is an arithmetic number, because the mean of its divisors is an integer number (130267647081).

Almost surely, 2^{1022100000021} is an apocalyptic number.

It is an amenable number.

1022100000021 is a deficient number, since it is larger than the sum of its proper divisors (541111764951).

1022100000021 is a wasteful number, since it uses less digits than its factorization.

1022100000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6680392180 (or 6680392177 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1022100000021 its reverse (1200000012201), we get a palindrome (2222100012222).

The spelling of 1022100000021 in words is "one trillion, twenty-two billion, one hundred million, twenty-one", and thus it is an aban number.