201001055100 has 144 divisors (see below), whose sum is σ = 613994035200. Its totient is φ = 50628049920.

The previous prime is 201001055083. The next prime is 201001055117. The reversal of 201001055100 is 1550100102.

It is an interprime number because it is at equal distance from previous prime (201001055083) and next prime (201001055117).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201001055100.

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, 1868581 + ... + 1973219.

Almost surely, 2^201001055100 is an apocalyptic number.

201001055100 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 201001055100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306997017600).

201001055100 is an abundant number, since it is smaller than the sum of its proper divisors (412992980100).

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

201001055100 is a wasteful number, since it uses less digits than its factorization.

201001055100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105012 (or 105005 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

Adding to 201001055100 its reverse (1550100102), we get a palindrome (202551155202).

The spelling of 201001055100 in words is "two hundred one billion, one million, fifty-five thousand, one hundred".