100201000200100 has 36 divisors (see below), whose sum is σ = 217460174626800. Its totient is φ = 40075975344160.

The previous prime is 100201000200071. The next prime is 100201000200107. The reversal of 100201000200100 is 1002000102001.

It is a super-2 number, since 2×100201000200100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100201000200107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54398770 + ... + 56210569.

It is an arithmetic number, because the mean of its divisors is an integer number (6040560406300).

Almost surely, 2^{100201000200100} is an apocalyptic number.

100201000200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201000200100 is an abundant number, since it is smaller than the sum of its proper divisors (117259174426700).

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

100201000200100 is a wasteful number, since it uses less digits than its factorization.

100201000200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110618412 (or 110618405 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 100201000200100 its reverse (1002000102001), we get a palindrome (101203000302101).

The spelling of 100201000200100 in words is "one hundred trillion, two hundred one billion, two hundred thousand, one hundred".