202120011100000 has 288 divisors, whose sum is σ = 578060609253120. Its totient is φ = 68123728320000.

The previous prime is 202120011099971. The next prime is 202120011100003. The reversal of 202120011100000 is 1110021202.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 202120011100000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202120011100003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38853027 + ... + 43746973.

It is an arithmetic number, because the mean of its divisors is an integer number (2007154893240).

Almost surely, 2^{202120011100000} is an apocalyptic number.

202120011100000 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 202120011100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289030304626560).

202120011100000 is an abundant number, since it is smaller than the sum of its proper divisors (375940598153120).

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

202120011100000 is an frugal number, since it uses more digits than its factorization.

202120011100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4894048 (or 4894020 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 202120011100000 its reverse (1110021202), we get a palindrome (202121121121202).

The spelling of 202120011100000 in words is "two hundred two trillion, one hundred twenty billion, eleven million, one hundred thousand".