201102120000 has 420 divisors, whose sum is σ = 724686010620. Its totient is φ = 53300736000.

The previous prime is 201102119989. The next prime is 201102120073. The reversal of 201102120000 is 21201102.

It can be written as a sum of positive squares in 10 ways, for example, as 129530889216 + 71571230784 = 359904^2 + 267528^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 62278386 + ... + 62281614.

Almost surely, 2^201102120000 is an apocalyptic number.

201102120000 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 201102120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362343005310).

201102120000 is an abundant number, since it is smaller than the sum of its proper divisors (523583890620).

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

201102120000 is a wasteful number, since it uses less digits than its factorization.

201102120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3440 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 201102120000 its reverse (21201102), we get a palindrome (201123321102).

The spelling of 201102120000 in words is "two hundred one billion, one hundred two million, one hundred twenty thousand".