202202111002000 has 160 divisors (see below), whose sum is σ = 506102364518400. Its totient is φ = 78053749056000.

The previous prime is 202202111001977. The next prime is 202202111002027. The reversal of 202202111002000 is 200111202202.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17715766 + ... + 26800234.

It is an arithmetic number, because the mean of its divisors is an integer number (3163139778240).

Almost surely, 2^{202202111002000} is an apocalyptic number.

202202111002000 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 202202111002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253051182259200).

202202111002000 is an abundant number, since it is smaller than the sum of its proper divisors (303900253516400).

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

202202111002000 is a wasteful number, since it uses less digits than its factorization.

202202111002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9084882 (or 9084866 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 202202111002000 its reverse (200111202202), we get a palindrome (202402222204202).

The spelling of 202202111002000 in words is "two hundred two trillion, two hundred two billion, one hundred eleven million, two thousand".