100010001101112 has 64 divisors (see below), whose sum is σ = 278104596372000. Its totient is φ = 33300782502912.

The previous prime is 100010001101111. The next prime is 100010001101113. The reversal of 100010001101112 is 211101100010001.

It is an interprime number because it is at equal distance from previous prime (100010001101111) and next prime (100010001101113).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100010001101094 and 100010001101103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010001101111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248997003 + ... + 249398330.

Almost surely, 2^{100010001101112} is an apocalyptic number.

100010001101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100010001101112 is an abundant number, since it is smaller than the sum of its proper divisors (178094595270888).

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

100010001101112 is a wasteful number, since it uses less digits than its factorization.

100010001101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498396277 (or 498396267 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100010001101112 its reverse (211101100010001), we get a palindrome (311111101111113).

The spelling of 100010001101112 in words is "one hundred trillion, ten billion, one million, one hundred one thousand, one hundred twelve".