202210200102072 has 128 divisors (see below), whose sum is σ = 528753657600000. Its totient is φ = 64366924216320.

The previous prime is 202210200102067. The next prime is 202210200102073. The reversal of 202210200102072 is 270201002012202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202210200102073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29981868 + ... + 36101700.

It is an arithmetic number, because the mean of its divisors is an integer number (4130887950000).

Almost surely, 2^{202210200102072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202210200102072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264376828800000).

202210200102072 is an abundant number, since it is smaller than the sum of its proper divisors (326543457497928).

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

202210200102072 is a wasteful number, since it uses less digits than its factorization.

202210200102072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6120461 (or 6120457 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

Adding to 202210200102072 its reverse (270201002012202), we get a palindrome (472411202114274).

The spelling of 202210200102072 in words is "two hundred two trillion, two hundred ten billion, two hundred million, one hundred two thousand, seventy-two".