202100011120 has 80 divisors (see below), whose sum is σ = 537332840640. Its totient is φ = 69249595392.

The previous prime is 202100011081. The next prime is 202100011151. The reversal of 202100011120 is 21110001202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 202100011097 and 202100011106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 826524 + ... + 1042756.

It is an arithmetic number, because the mean of its divisors is an integer number (6716660508).

Almost surely, 2^202100011120 is an apocalyptic number.

202100011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202100011120 is an abundant number, since it is smaller than the sum of its proper divisors (335232829520).

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

202100011120 is a wasteful number, since it uses less digits than its factorization.

202100011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217922 (or 217916 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 202100011120 its reverse (21110001202), we get a palindrome (223210012322).

The spelling of 202100011120 in words is "two hundred two billion, one hundred million, eleven thousand, one hundred twenty".