10001101000100 has 72 divisors (see below), whose sum is σ = 24834985042560. Its totient is φ = 3424489758720.

The previous prime is 10001101000097. The next prime is 10001101000103. The reversal of 10001101000100 is 100010110001.

It is an interprime number because it is at equal distance from previous prime (10001101000097) and next prime (10001101000103).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (10001101000103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8751224 + ... + 9827823.

Almost surely, 2^{10001101000100} is an apocalyptic number.

10001101000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001101000100 is an abundant number, since it is smaller than the sum of its proper divisors (14833884042460).

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

10001101000100 is a wasteful number, since it uses less digits than its factorization.

10001101000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18579837 (or 18579830 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10001101000100 its reverse (100010110001), we get a palindrome (10101111110101).

It can be divided in two parts, 10001 and 101000100, that added together give a palindrome (101010101).

The spelling of 10001101000100 in words is "ten trillion, one billion, one hundred one million, one hundred", and thus it is an aban number.