100201103113110 has 128 divisors (see below), whose sum is σ = 259301128863744. Its totient is φ = 24708489886080.

The previous prime is 100201103113103. The next prime is 100201103113159. The reversal of 100201103113110 is 11311301102001.

It is a super-2 number, since 2×100201103113110² (a number of 29 digits) contains 22 as substring.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100201103113110.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18261957 + ... + 23106303.

It is an arithmetic number, because the mean of its divisors is an integer number (2025790069248).

Almost surely, 2^{100201103113110} is an apocalyptic number.

100201103113110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100201103113110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129650564431872).

100201103113110 is an abundant number, since it is smaller than the sum of its proper divisors (159100025750634).

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

100201103113110 is a wasteful number, since it uses less digits than its factorization.

100201103113110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4845378.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 100201103113110 its reverse (11311301102001), we get a palindrome (111512404215111).

The spelling of 100201103113110 in words is "one hundred trillion, two hundred one billion, one hundred three million, one hundred thirteen thousand, one hundred ten".