201321110100 has 144 divisors (see below), whose sum is σ = 668887188480. Its totient is φ = 46236412800.

The previous prime is 201321110051. The next prime is 201321110101. The reversal of 201321110100 is 1011123102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201321110101) 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, 1542732 + ... + 1668131.

It is an arithmetic number, because the mean of its divisors is an integer number (4645049920).

Almost surely, 2^201321110100 is an apocalyptic number.

201321110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201321110100 is an abundant number, since it is smaller than the sum of its proper divisors (467566078380).

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

201321110100 is a wasteful number, since it uses less digits than its factorization.

201321110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3210910 (or 3210903 counting only the distinct ones).

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

Adding to 201321110100 its reverse (1011123102), we get a palindrome (202332233202).

The spelling of 201321110100 in words is "two hundred one billion, three hundred twenty-one million, one hundred ten thousand, one hundred".