101020121221200 has 120 divisors (see below), whose sum is σ = 325963174158528. Its totient is φ = 26742066109440.

The previous prime is 101020121221181. The next prime is 101020121221231. The reversal of 101020121221200 is 2122121020101.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101020121221200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307074412 + ... + 307403211.

Almost surely, 2^{101020121221200} is an apocalyptic number.

101020121221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020121221200 is an abundant number, since it is smaller than the sum of its proper divisors (224943052937328).

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

101020121221200 is a wasteful number, since it uses less digits than its factorization.

101020121221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614477781 (or 614477770 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101020121221200 its reverse (2122121020101), we get a palindrome (103142242241301).

The spelling of 101020121221200 in words is "one hundred one trillion, twenty billion, one hundred twenty-one million, two hundred twenty-one thousand, two hundred".