100112002001012 has 6 divisors (see below), whose sum is σ = 175196003501778. Its totient is φ = 50056001000504.

The previous prime is 100112002000999. The next prime is 100112002001027. The reversal of 100112002001012 is 210100200211001.

It can be written as a sum of positive squares in only one way, i.e., 98946867417616 + 1165134583396 = 9947204^2 + 1079414^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100112002000984 and 100112002001002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12514000250123 + ... + 12514000250130.

It is an arithmetic number, because the mean of its divisors is an integer number (29199333916963).

Almost surely, 2^{100112002001012} is an apocalyptic number.

It is an amenable number.

100112002001012 is a deficient number, since it is larger than the sum of its proper divisors (75084001500766).

100112002001012 is a wasteful number, since it uses less digits than its factorization.

100112002001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25028000500257 (or 25028000500255 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100112002001012 its reverse (210100200211001), we get a palindrome (310212202212013).

The spelling of 100112002001012 in words is "one hundred trillion, one hundred twelve billion, two million, one thousand, twelve".