1022000002101 has 24 divisors (see below), whose sum is σ = 1590266485080. Its totient is φ = 628729744896.

The previous prime is 1022000002091. The next prime is 1022000002109. The reversal of 1022000002101 is 1012000002201.

It can be written as a sum of positive squares in 4 ways, for example, as 90871499601 + 931128502500 = 301449^2 + 964950^2 .

It is not a de Polignac number, because 1022000002101 - 2¹⁹ = 1021999477813 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022000002109) 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, 959896 + ... + 1722033.

It is an arithmetic number, because the mean of its divisors is an integer number (66261103545).

Almost surely, 2^{1022000002101} is an apocalyptic number.

It is an amenable number.

1022000002101 is a deficient number, since it is larger than the sum of its proper divisors (568266482979).

1022000002101 is a wasteful number, since it uses less digits than its factorization.

1022000002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2685205 (or 2685202 counting only the distinct ones).

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

Adding to 1022000002101 its reverse (1012000002201), we get a palindrome (2034000004302).

The spelling of 1022000002101 in words is "one trillion, twenty-two billion, two thousand, one hundred one".