911001000100112 has 120 divisors (see below), whose sum is σ = 1917463297206600. Its totient is φ = 417809720401920.

The previous prime is 911001000100099. The next prime is 911001000100117. The reversal of 911001000100112 is 211001000100119.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 411166624235536 + 499834375864576 = 20277244^2 + 22356976^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (911001000100117) 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, 106191314 + ... + 114449102.

It is an arithmetic number, because the mean of its divisors is an integer number (15978860810055).

Almost surely, 2^{911001000100112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 911001000100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958731648603300).

911001000100112 is an abundant number, since it is smaller than the sum of its proper divisors (1006462297106488).

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

911001000100112 is a wasteful number, since it uses less digits than its factorization.

911001000100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8258045 (or 8257978 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 17.

The spelling of 911001000100112 in words is "nine hundred eleven trillion, one billion, one hundred thousand, one hundred twelve".