121022100002000 has 80 divisors (see below), whose sum is σ = 292972902208272. Its totient is φ = 48352352921600.

The previous prime is 121022100001967. The next prime is 121022100002093. The reversal of 121022100002000 is 200001220121.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7843582096 + 121014256419904 = 88564^2 + 11000648^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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, 33589997 + ... + 37017996.

Almost surely, 2^{121022100002000} is an apocalyptic number.

121022100002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121022100002000 is an abundant number, since it is smaller than the sum of its proper divisors (171950802206272).

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

121022100002000 is an equidigital number, since it uses as much as digits as its factorization.

121022100002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70608873 (or 70608857 counting only the distinct ones).

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

Adding to 121022100002000 its reverse (200001220121), we get a palindrome (121222101222121).

The spelling of 121022100002000 in words is "one hundred twenty-one trillion, twenty-two billion, one hundred million, two thousand".