10001001110100 has 576 divisors, whose sum is σ = 39901524805632. Its totient is φ = 1866426624000.

The previous prime is 10001001110057. The next prime is 10001001110179. The reversal of 10001001110100 is 101110010001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10661055 + ... + 11561145.

Almost surely, 2^{10001001110100} is an apocalyptic number.

10001001110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001001110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19950762402816).

10001001110100 is an abundant number, since it is smaller than the sum of its proper divisors (29900523695532).

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

10001001110100 is a wasteful number, since it uses less digits than its factorization.

10001001110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900176 (or 900169 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10001001110100 its reverse (101110010001), we get a palindrome (10102111120101).

It can be divided in two parts, 10001001 and 110100, that added together give a palindrome (10111101).

The spelling of 10001001110100 in words is "ten trillion, one billion, one million, one hundred ten thousand, one hundred".