201001022102100 has 288 divisors, whose sum is σ = 635621323631616. Its totient is φ = 48636269337600.

The previous prime is 201001022102063. The next prime is 201001022102131. The reversal of 201001022102100 is 1201220100102.

201001022102100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 4871904672 + ... + 4871945928.

It is an arithmetic number, because the mean of its divisors is an integer number (2207018484832).

Almost surely, 2^{201001022102100} is an apocalyptic number.

201001022102100 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 201001022102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317810661815808).

201001022102100 is an abundant number, since it is smaller than the sum of its proper divisors (434620301529516).

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

201001022102100 is a wasteful number, since it uses less digits than its factorization.

201001022102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44015 (or 44008 counting only the distinct ones).

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

Adding to 201001022102100 its reverse (1201220100102), we get a palindrome (202202242202202).

The spelling of 201001022102100 in words is "two hundred one trillion, one billion, twenty-two million, one hundred two thousand, one hundred".