202200141002202 has 192 divisors, whose sum is σ = 530557343447040. Its totient is φ = 54330175291392.

The previous prime is 202200141002177. The next prime is 202200141002263.

202200141002202 is a `hidden beast` number, since 202 + 200 + 1 + 41 + 0 + 0 + 220 + 2 = 666.

202200141002202 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21421770999 + ... + 21421780437.

It is an arithmetic number, because the mean of its divisors is an integer number (2763319497120).

Almost surely, 2^{202200141002202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202200141002202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265278671723520).

202200141002202 is an abundant number, since it is smaller than the sum of its proper divisors (328357202444838).

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

202200141002202 is a wasteful number, since it uses less digits than its factorization.

202200141002202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16317 (or 16314 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The spelling of 202200141002202 in words is "two hundred two trillion, two hundred billion, one hundred forty-one million, two thousand, two hundred two".