201124101900 has 72 divisors (see below), whose sum is σ = 596112252624. Its totient is φ = 52324966400.

The previous prime is 201124101851. The next prime is 201124101901. The reversal of 201124101900 is 9101421102.

It is a happy number.

It is a super-2 number, since 2×201124101900² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201124101901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8163477 + ... + 8188076.

It is an arithmetic number, because the mean of its divisors is an integer number (8279336842).

Almost surely, 2^201124101900 is an apocalyptic number.

201124101900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201124101900 is an abundant number, since it is smaller than the sum of its proper divisors (394988150724).

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

201124101900 is a wasteful number, since it uses less digits than its factorization.

201124101900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16351611 (or 16351604 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The spelling of 201124101900 in words is "two hundred one billion, one hundred twenty-four million, one hundred one thousand, nine hundred".