201000010220100 has 648 divisors, whose sum is σ = 795585804249600. Its totient is φ = 42408782357760.

The previous prime is 201000010220071. The next prime is 201000010220117. The reversal of 201000010220100 is 1022010000102.

201000010220100 is digitally balanced in base 2 and base 4, because in such bases 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 (9).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 50243917 + ... + 54096683.

Almost surely, 2^{201000010220100} is an apocalyptic number.

201000010220100 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 201000010220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397792902124800).

201000010220100 is an abundant number, since it is smaller than the sum of its proper divisors (594585794029500).

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

201000010220100 is a wasteful number, since it uses less digits than its factorization.

201000010220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3852834 (or 3852797 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 201000010220100 its reverse (1022010000102), we get a palindrome (202022020220202).

The spelling of 201000010220100 in words is "two hundred one trillion, ten million, two hundred twenty thousand, one hundred".