201001201022100 has 144 divisors (see below), whose sum is σ = 591810371573120. Its totient is φ = 52658025868800.

The previous prime is 201001201022081. The next prime is 201001201022177. The reversal of 201001201022100 is 1220102100102.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8546049 + ... + 21795351.

Almost surely, 2^{201001201022100} is an apocalyptic number.

201001201022100 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 201001201022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295905185786560).

201001201022100 is an abundant number, since it is smaller than the sum of its proper divisors (390809170551020).

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

201001201022100 is a wasteful number, since it uses less digits than its factorization.

201001201022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13250210 (or 13250203 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201001201022100 its reverse (1220102100102), we get a palindrome (202221303122202).

The spelling of 201001201022100 in words is "two hundred one trillion, one billion, two hundred one million, twenty-two thousand, one hundred".