202011010121100 has 288 divisors, whose sum is σ = 615273843453696. Its totient is φ = 51120153216000.

The previous prime is 202011010121077. The next prime is 202011010121267. The reversal of 202011010121100 is 1121010110202.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73768999 + ... + 76458401.

It is an arithmetic number, because the mean of its divisors is an integer number (2136367511992).

Almost surely, 2^{202011010121100} is an apocalyptic number.

202011010121100 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 202011010121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307636921726848).

202011010121100 is an abundant number, since it is smaller than the sum of its proper divisors (413262833332596).

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

202011010121100 is a wasteful number, since it uses less digits than its factorization.

202011010121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689625 (or 2689618 counting only the distinct ones).

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

Adding to 202011010121100 its reverse (1121010110202), we get a palindrome (203132020231302).

The spelling of 202011010121100 in words is "two hundred two trillion, eleven billion, ten million, one hundred twenty-one thousand, one hundred".