10001101106100 has 144 divisors (see below), whose sum is σ = 31261969508672. Its totient is φ = 2453943997440.

The previous prime is 10001101106083. The next prime is 10001101106119. The reversal of 10001101106100 is 160110110001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2875762 + ... + 5317161.

Almost surely, 2^{10001101106100} is an apocalyptic number.

10001101106100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001101106100 is an abundant number, since it is smaller than the sum of its proper divisors (21260868402572).

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

10001101106100 is a wasteful number, since it uses less digits than its factorization.

10001101106100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8193266 (or 8193259 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 10001101106100 its reverse (160110110001), we get a palindrome (10161211216101).

The spelling of 10001101106100 in words is "ten trillion, one billion, one hundred one million, one hundred six thousand, one hundred".