202121498116032 has 224 divisors, whose sum is σ = 584471485278720. Its totient is φ = 61136136990720.

The previous prime is 202121498116003. The next prime is 202121498116073. The reversal of 202121498116032 is 230611894121202.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2813576818 + ... + 2813648654.

Almost surely, 2^{202121498116032} is an apocalyptic number.

202121498116032 is a gapful number since it is divisible by the number (22) 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 202121498116032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292235742639360).

202121498116032 is an abundant number, since it is smaller than the sum of its proper divisors (382349987162688).

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

202121498116032 is a wasteful number, since it uses less digits than its factorization.

202121498116032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74299 (or 74289 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 202121498116032 in words is "two hundred two trillion, one hundred twenty-one billion, four hundred ninety-eight million, one hundred sixteen thousand, thirty-two".