202125601050 has 192 divisors, whose sum is σ = 514035849600. Its totient is φ = 52549447680.

The previous prime is 202125601037. The next prime is 202125601079. The reversal of 202125601050 is 50106521202.

It is a happy number.

It is a super-2 number, since 2×202125601050² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 202125601050.

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 95 ways as a sum of consecutive naturals, for example, 579156276 + ... + 579156624.

It is an arithmetic number, because the mean of its divisors is an integer number (2677270050).

Almost surely, 2^202125601050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202125601050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257017924800).

202125601050 is an abundant number, since it is smaller than the sum of its proper divisors (311910248550).

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

202125601050 is a wasteful number, since it uses less digits than its factorization.

202125601050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 202125601050 in words is "two hundred two billion, one hundred twenty-five million, six hundred one thousand, fifty".