1010100112 has 30 divisors (see below), whose sum is σ = 2276592198. Its totient is φ = 432899712.

The previous prime is 1010100103. The next prime is 1010100121. The reversal of 1010100112 is 2110010101.

1010100112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1010100103) and next prime (1010100121).

It can be written as a sum of positive squares in only one way, i.e., 618218496 + 391881616 = 24864^2 + 19796^2 .

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 1010100095 and 1010100104.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 643413 + ... + 644980.

Almost surely, 2^1010100112 is an apocalyptic number.

It is an amenable number.

1010100112 is an abundant number, since it is smaller than the sum of its proper divisors (1266492086).

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

1010100112 is a wasteful number, since it uses less digits than its factorization.

1010100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288415 (or 1288402 counting only the distinct ones).

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

The square root of 1010100112 is about 31782.0721791390. The cubic root of 1010100112 is about 1003.3554324800.

Adding to 1010100112 its reverse (2110010101), we get a palindrome (3120110213).

The spelling of 1010100112 in words is "one billion, ten million, one hundred thousand, one hundred twelve".