101112100200100 has 288 divisors, whose sum is σ = 248487350791680. Its totient is φ = 35392968576000.

The previous prime is 101112100200019. The next prime is 101112100200109. The reversal of 101112100200100 is 1002001211101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101112100200109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1605661615 + ... + 1605724585.

It is an arithmetic number, because the mean of its divisors is an integer number (862803301360).

Almost surely, 2^{101112100200100} is an apocalyptic number.

101112100200100 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 101112100200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124243675395840).

101112100200100 is an abundant number, since it is smaller than the sum of its proper divisors (147375250591580).

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

101112100200100 is a wasteful number, since it uses less digits than its factorization.

101112100200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63531 (or 63524 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101112100200100 its reverse (1002001211101), we get a palindrome (102114101411201).

The spelling of 101112100200100 in words is "one hundred one trillion, one hundred twelve billion, one hundred million, two hundred thousand, one hundred".