202001112120100 has 144 divisors (see below), whose sum is σ = 472676362776576. Its totient is φ = 74711753424000.

The previous prime is 202001112120091. The next prime is 202001112120107. The reversal of 202001112120100 is 1021211100202.

It is a super-2 number, since 2×202001112120100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (202001112120107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63107295 + ... + 66230905.

It is an arithmetic number, because the mean of its divisors is an integer number (3282474741504).

Almost surely, 2^{202001112120100} is an apocalyptic number.

202001112120100 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 202001112120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236338181388288).

202001112120100 is an abundant number, since it is smaller than the sum of its proper divisors (270675250656476).

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

202001112120100 is a wasteful number, since it uses less digits than its factorization.

202001112120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3124586 (or 3124579 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 202001112120100 its reverse (1021211100202), we get a palindrome (203022323220302).

The spelling of 202001112120100 in words is "two hundred two trillion, one billion, one hundred twelve million, one hundred twenty thousand, one hundred".