1022100010100 has 36 divisors (see below), whose sum is σ = 2388569103564. Its totient is φ = 377390772480.

The previous prime is 1022100010031. The next prime is 1022100010109. The reversal of 1022100010100 is 10100012201.

It can be written as a sum of positive squares in 6 ways, for example, as 326390545636 + 695709464464 = 571306^2 + 834092^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022100010109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 393114089 + ... + 393116688.

Almost surely, 2^{1022100010100} is an apocalyptic number.

1022100010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022100010100 is an abundant number, since it is smaller than the sum of its proper divisors (1366469093464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1022100010100 is a wasteful number, since it uses less digits than its factorization.

1022100010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786230804 (or 786230797 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1022100010100 its reverse (10100012201), we get a palindrome (1032200022301).

The spelling of 1022100010100 in words is "one trillion, twenty-two billion, one hundred million, ten thousand, one hundred".