201201210100 has 288 divisors, whose sum is σ = 530408051712. Its totient is φ = 65345280000.

The previous prime is 201201210071. The next prime is 201201210101. The reversal of 201201210100 is 1012102102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201201210101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56341315 + ... + 56344885.

It is an arithmetic number, because the mean of its divisors is an integer number (1841694624).

Almost surely, 2^201201210100 is an apocalyptic number.

201201210100 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 201201210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265204025856).

201201210100 is an abundant number, since it is smaller than the sum of its proper divisors (329206841612).

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

201201210100 is a wasteful number, since it uses less digits than its factorization.

201201210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3767 (or 3760 counting only the distinct ones).

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

Adding to 201201210100 its reverse (1012102102), we get a palindrome (202213312202).

The spelling of 201201210100 in words is "two hundred one billion, two hundred one million, two hundred ten thousand, one hundred".