201021102120000 has 560 divisors, whose sum is σ = 682835365238400. Its totient is φ = 52137732096000.

The previous prime is 201021102119939. The next prime is 201021102120017. The reversal of 201021102120000 is 21201120102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15313553437 + ... + 15313566563.

Almost surely, 2^{201021102120000} is an apocalyptic number.

201021102120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201021102120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341417682619200).

201021102120000 is an abundant number, since it is smaller than the sum of its proper divisors (481814263118400).

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

201021102120000 is a wasteful number, since it uses less digits than its factorization.

201021102120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16648 (or 16623 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201021102120000 its reverse (21201120102), we get a palindrome (201042303240102).

It can be divided in two parts, 201021102 and 120000, that added together give a palindrome (201141102).

The spelling of 201021102120000 in words is "two hundred one trillion, twenty-one billion, one hundred two million, one hundred twenty thousand".