212101121201000 has 128 divisors (see below), whose sum is σ = 507575360448000. Its totient is φ = 82937144160000.

The previous prime is 212101121200999. The next prime is 212101121201027. The reversal of 212101121201000 is 102121101212.

It is a super-2 number, since 2×212101121201000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5312210 + ... + 21270209.

It is an arithmetic number, because the mean of its divisors is an integer number (3965432503500).

Almost surely, 2^{212101121201000} is an apocalyptic number.

212101121201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101121201000 is an abundant number, since it is smaller than the sum of its proper divisors (295474239247000).

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

212101121201000 is a wasteful number, since it uses less digits than its factorization.

212101121201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26582620 (or 26582606 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212101121201000 its reverse (102121101212), we get a palindrome (212203242302212).

The spelling of 212101121201000 in words is "two hundred twelve trillion, one hundred one billion, one hundred twenty-one million, two hundred one thousand".