10091010010100 has 18 divisors (see below), whose sum is σ = 21897491722134. Its totient is φ = 4036404004000.

The previous prime is 10091010010073. The next prime is 10091010010183. The reversal of 10091010010100 is 101001019001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 55368913636 + 10035641096464 = 235306^2 + 3167908^2 .

It is a congruent number.

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, 50455049951 + ... + 50455050150.

Almost surely, 2^{10091010010100} is an apocalyptic number.

10091010010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10091010010100 is an abundant number, since it is smaller than the sum of its proper divisors (11806481712034).

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

10091010010100 is a wasteful number, since it uses less digits than its factorization.

10091010010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100910100115 (or 100910100108 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 10091010010100 its reverse (101001019001), we get a palindrome (10192011029101).

The spelling of 10091010010100 in words is "ten trillion, ninety-one billion, ten million, ten thousand, one hundred".