100101001001112 has 48 divisors (see below), whose sum is σ = 287054341109640. Its totient is φ = 31404235607808.

The previous prime is 100101001001083. The next prime is 100101001001123. The reversal of 100101001001112 is 211100100101001.

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 = 100101001001094 and 100101001001103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40890930558 + ... + 40890933005.

Almost surely, 2^{100101001001112} is an apocalyptic number.

100101001001112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100101001001112 is an abundant number, since it is smaller than the sum of its proper divisors (186953340108528).

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

100101001001112 is a wasteful number, since it uses less digits than its factorization.

100101001001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81781863592 (or 81781863585 counting only the distinct ones).

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

Adding to 100101001001112 its reverse (211100100101001), we get a palindrome (311201101102113).

The spelling of 100101001001112 in words is "one hundred trillion, one hundred one billion, one million, one thousand, one hundred twelve".