1000201022100 has 288 divisors, whose sum is σ = 3793357209600. Its totient is φ = 221242492800.

The previous prime is 1000201022077. The next prime is 1000201022101. The reversal of 1000201022100 is 12201020001.

It is a super-3 number, since 3×1000201022100³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000201022101) 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, 267660 + ... + 1439459.

It is an arithmetic number, because the mean of its divisors is an integer number (13171379200).

Almost surely, 2^{1000201022100} is an apocalyptic number.

1000201022100 is a gapful number since it is divisible by the number (10) 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 1000201022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896678604800).

1000201022100 is an abundant number, since it is smaller than the sum of its proper divisors (2793156187500).

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

1000201022100 is a wasteful number, since it uses less digits than its factorization.

1000201022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707180 (or 1707167 counting only the distinct ones).

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

Adding to 1000201022100 its reverse (12201020001), we get a palindrome (1012402042101).

The spelling of 1000201022100 in words is "one trillion, two hundred one million, twenty-two thousand, one hundred".