10000100010100 has 36 divisors (see below), whose sum is σ = 21700398935404. Its totient is φ = 4000006471680.

The previous prime is 10000100010067. The next prime is 10000100010133. The reversal of 10000100010100 is 101000100001.

It is an interprime number because it is at equal distance from previous prime (10000100010067) and next prime (10000100010133).

It can be written as a sum of positive squares in 6 ways, for example, as 4861019571984 + 5139080438116 = 2204772^2 + 2266954^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a self number, because there is not a number n which added to its sum of digits gives 10000100010100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14056564 + ... + 14750836.

Almost surely, 2^{10000100010100} is an apocalyptic number.

10000100010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000100010100 is an abundant number, since it is smaller than the sum of its proper divisors (11700298925304).

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

10000100010100 is a wasteful number, since it uses less digits than its factorization.

10000100010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838324 (or 838317 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 10000100010100 its reverse (101000100001), we get a palindrome (10101100110101).

The spelling of 10000100010100 in words is "ten trillion, one hundred million, ten thousand, one hundred".