101112200100102 has 16 divisors (see below), whose sum is σ = 202420164394800. Its totient is φ = 33671439334272.

The previous prime is 101112200100101. The next prime is 101112200100133. The reversal of 101112200100102 is 201001002211101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112200100101) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8156834727 + ... + 8156847122.

It is an arithmetic number, because the mean of its divisors is an integer number (12651260274675).

Almost surely, 2^{101112200100102} is an apocalyptic number.

101112200100102 is an abundant number, since it is smaller than the sum of its proper divisors (101307964294698).

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

101112200100102 is a wasteful number, since it uses less digits than its factorization.

101112200100102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16313682887.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101112200100102 its reverse (201001002211101), we get a palindrome (302113202311203).

The spelling of 101112200100102 in words is "one hundred one trillion, one hundred twelve billion, two hundred million, one hundred thousand, one hundred two".