201233123213100 has 288 divisors, whose sum is σ = 639420624460800. Its totient is φ = 48457132339200.

The previous prime is 201233123213077. The next prime is 201233123213137. The reversal of 201233123213100 is 1312321332102.

It is a super-2 number, since 2×201233123213100² (a number of 29 digits) contains 22 as substring.

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, 1615891636 + ... + 1616016164.

It is an arithmetic number, because the mean of its divisors is an integer number (2220210501600).

Almost surely, 2^{201233123213100} is an apocalyptic number.

201233123213100 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 201233123213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319710312230400).

201233123213100 is an abundant number, since it is smaller than the sum of its proper divisors (438187501247700).

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

201233123213100 is a wasteful number, since it uses less digits than its factorization.

201233123213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127833 (or 127826 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 201233123213100 its reverse (1312321332102), we get a palindrome (202545444545202).

The spelling of 201233123213100 in words is "two hundred one trillion, two hundred thirty-three billion, one hundred twenty-three million, two hundred thirteen thousand, one hundred".