202111033130000 has 200 divisors, whose sum is σ = 507312507001080. Its totient is φ = 77885821440000.

The previous prime is 202111033129847. The next prime is 202111033130033. The reversal of 202111033130000 is 31330111202.

It can be written as a sum of positive squares in 20 ways, for example, as 201982763140096 + 128269989904 = 14212064^2 + 358148^2 .

It is a tau number, because it is divible by the number of its divisors (200).

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 39 ways as a sum of consecutive naturals, for example, 131767490 + ... + 133292510.

Almost surely, 2^{202111033130000} is an apocalyptic number.

202111033130000 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 202111033130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253656253500540).

202111033130000 is an abundant number, since it is smaller than the sum of its proper divisors (305201473871080).

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

202111033130000 is a wasteful number, since it uses less digits than its factorization.

202111033130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525535 (or 1525514 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 202111033130000 its reverse (31330111202), we get a palindrome (202142363241202).

The spelling of 202111033130000 in words is "two hundred two trillion, one hundred eleven billion, thirty-three million, one hundred thirty thousand".