202210120001000 has 64 divisors (see below), whose sum is σ = 473705134606080. Its totient is φ = 80792859316800.

The previous prime is 202210120000969. The next prime is 202210120001023. The reversal of 202210120001000 is 100021012202.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113098412 + ... + 114872411.

It is an arithmetic number, because the mean of its divisors is an integer number (7401642728220).

Almost surely, 2^{202210120001000} is an apocalyptic number.

202210120001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202210120001000 is an abundant number, since it is smaller than the sum of its proper divisors (271495014605080).

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

202210120001000 is a wasteful number, since it uses less digits than its factorization.

202210120001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227971731 (or 227971717 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 202210120001000 its reverse (100021012202), we get a palindrome (202310141013202).

The spelling of 202210120001000 in words is "two hundred two trillion, two hundred ten billion, one hundred twenty million, one thousand".