202010121110100 has 144 divisors (see below), whose sum is σ = 588440712384000. Its totient is φ = 53504607736320.

The previous prime is 202010121110069. The next prime is 202010121110131. The reversal of 202010121110100 is 1011121010202.

202010121110100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (202010121110069) and next prime (202010121110131).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 795041277 + ... + 795295323.

It is an arithmetic number, because the mean of its divisors is an integer number (4086393836000).

Almost surely, 2^{202010121110100} is an apocalyptic number.

202010121110100 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 202010121110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294220356192000).

202010121110100 is an abundant number, since it is smaller than the sum of its proper divisors (386430591273900).

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

202010121110100 is a wasteful number, since it uses less digits than its factorization.

202010121110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272002 (or 271995 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 202010121110100 its reverse (1011121010202), we get a palindrome (203021242120302).

It can be divided in two parts, 2020101 and 21110100, that added together give a triangular number (23130201 = T₆₈₀₁).

The spelling of 202010121110100 in words is "two hundred two trillion, ten billion, one hundred twenty-one million, one hundred ten thousand, one hundred".