10100201200100 has 72 divisors (see below), whose sum is σ = 24030081768000. Its totient is φ = 3654344073600.

The previous prime is 10100201200097. The next prime is 10100201200157. The reversal of 10100201200100 is 100210200101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22851455 + ... + 23289254.

Almost surely, 2^{10100201200100} is an apocalyptic number.

10100201200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100201200100 is an abundant number, since it is smaller than the sum of its proper divisors (13929880567900).

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

10100201200100 is a wasteful number, since it uses less digits than its factorization.

10100201200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46140933 (or 46140926 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10100201200100 its reverse (100210200101), we get a palindrome (10200411400201).

Subtracting from 10100201200100 its reverse (100210200101), we obtain a palindrome (9999990999999).

It can be divided in two parts, 10100201 and 200100, that added together give a palindrome (10300301).

The spelling of 10100201200100 in words is "ten trillion, one hundred billion, two hundred one million, two hundred thousand, one hundred".