100100101012 has 12 divisors (see below), whose sum is σ = 185479599060. Its totient is φ = 47105929856.

The previous prime is 100100100953. The next prime is 100100101019. The reversal of 100100101012 is 210101001001.

It can be written as a sum of positive squares in 2 ways, for example, as 77933655556 + 22166445456 = 279166^2 + 148884^2 .

It is a super-3 number, since 3×100100101012³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 100100100986 and 100100101004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100101019) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 736030087 + ... + 736030222.

It is an arithmetic number, because the mean of its divisors is an integer number (15456633255).

Almost surely, 2^100100101012 is an apocalyptic number.

It is an amenable number.

100100101012 is a deficient number, since it is larger than the sum of its proper divisors (85379498048).

100100101012 is a wasteful number, since it uses less digits than its factorization.

100100101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472060330 (or 1472060328 counting only the distinct ones).

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

Adding to 100100101012 its reverse (210101001001), we get a palindrome (310201102013).

The spelling of 100100101012 in words is "one hundred billion, one hundred million, one hundred one thousand, twelve".