101221121200012 has 192 divisors, whose sum is σ = 209915989032960. Its totient is φ = 42247575392000.

The previous prime is 101221121199973. The next prime is 101221121200021. The reversal of 101221121200012 is 210002121122101.

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 63 ways as a sum of consecutive naturals, for example, 513925689 + ... + 514122607.

It is an arithmetic number, because the mean of its divisors is an integer number (1093312442880).

Almost surely, 2^{101221121200012} is an apocalyptic number.

It is an amenable number.

101221121200012 is an abundant number, since it is smaller than the sum of its proper divisors (108694867832948).

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

101221121200012 is a wasteful number, since it uses less digits than its factorization.

101221121200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197212 (or 197210 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101221121200012 its reverse (210002121122101), we get a palindrome (311223242322113).

The spelling of 101221121200012 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred twenty-one million, two hundred thousand, twelve".