202000112120100 has 288 divisors, whose sum is σ = 685993643596800. Its totient is φ = 44939489472000.

The previous prime is 202000112120071. The next prime is 202000112120141. The reversal of 202000112120100 is 1021211000202.

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

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, 4442871 + ... + 20584929.

It is an arithmetic number, because the mean of its divisors is an integer number (2381922373600).

Almost surely, 2^{202000112120100} is an apocalyptic number.

202000112120100 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 202000112120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342996821798400).

202000112120100 is an abundant number, since it is smaller than the sum of its proper divisors (483993531476700).

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

202000112120100 is a wasteful number, since it uses less digits than its factorization.

202000112120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16142243 (or 16142236 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 202000112120100 its reverse (1021211000202), we get a palindrome (203021323120302).

The spelling of 202000112120100 in words is "two hundred two trillion, one hundred twelve million, one hundred twenty thousand, one hundred".