201221101010100 has 144 divisors (see below), whose sum is σ = 583240820198400. Its totient is φ = 53563059235200.

The previous prime is 201221101010093. The next prime is 201221101010107. The reversal of 201221101010100 is 1010101122102.

201221101010100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201221101010093) and next prime (201221101010107).

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 (201221101010107) 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, 614066101 + ... + 614393699.

It is an arithmetic number, because the mean of its divisors is an integer number (4050283473600).

Almost surely, 2^{201221101010100} is an apocalyptic number.

201221101010100 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 201221101010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291620410099200).

201221101010100 is an abundant number, since it is smaller than the sum of its proper divisors (382019719188300).

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

201221101010100 is a wasteful number, since it uses less digits than its factorization.

201221101010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331270 (or 331263 counting only the distinct ones).

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

Adding to 201221101010100 its reverse (1010101122102), we get a palindrome (202231202132202).

The spelling of 201221101010100 in words is "two hundred one trillion, two hundred twenty-one billion, one hundred one million, ten thousand, one hundred".