100010101001002 has 16 divisors (see below), whose sum is σ = 162713708087112. Its totient is φ = 45915684820480.

The previous prime is 100010101000969. The next prime is 100010101001059. The reversal of 100010101001002 is 200100101010001.

It can be written as a sum of positive squares in 4 ways, for example, as 36969184692441 + 63040916308561 = 6080229^2 + 7939831^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35871627373 + ... + 35871630160.

Almost surely, 2^{100010101001002} is an apocalyptic number.

100010101001002 is a deficient number, since it is larger than the sum of its proper divisors (62703607086110).

100010101001002 is a wasteful number, since it uses less digits than its factorization.

100010101001002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71743257593.

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

Adding to 100010101001002 its reverse (200100101010001), we get a palindrome (300110202011003).

The spelling of 100010101001002 in words is "one hundred trillion, ten billion, one hundred one million, one thousand, two".