100100011012 has 12 divisors (see below), whose sum is σ = 175215329100. Its totient is φ = 50038488416.

The previous prime is 100100010919. The next prime is 100100011021. The reversal of 100100011012 is 210110001001.

It can be written as a sum of positive squares in 2 ways, for example, as 13701638916 + 86398372096 = 117054^2 + 293936^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100100010986 and 100100011004.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2859703 + ... + 2894494.

It is an arithmetic number, because the mean of its divisors is an integer number (14601277425).

Almost surely, 2^100100011012 is an apocalyptic number.

It is an amenable number.

100100011012 is a deficient number, since it is larger than the sum of its proper divisors (75115318088).

100100011012 is a wasteful number, since it uses less digits than its factorization.

100100011012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5758550 (or 5758548 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100100011012 its reverse (210110001001), we get a palindrome (310210012013).

The spelling of 100100011012 in words is "one hundred billion, one hundred million, eleven thousand, twelve".