10001011001112 has 128 divisors (see below), whose sum is σ = 27953737113600. Its totient is φ = 3312955154304.

The previous prime is 10001011001057. The next prime is 10001011001117. The reversal of 10001011001112 is 21110011010001.

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 = 10001011001094 and 10001011001103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001011001117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22697443 + ... + 23133869.

It is an arithmetic number, because the mean of its divisors is an integer number (218388571200).

Almost surely, 2^{10001011001112} is an apocalyptic number.

10001011001112 is a gapful number since it is divisible by the number (12) 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 10001011001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13976868556800).

10001011001112 is an abundant number, since it is smaller than the sum of its proper divisors (17952726112488).

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

10001011001112 is a wasteful number, since it uses less digits than its factorization.

10001011001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437102 (or 437092 counting only the distinct ones).

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

Adding to 10001011001112 its reverse (21110011010001), we get a palindrome (31111022011113).

The spelling of 10001011001112 in words is "ten trillion, one billion, eleven million, one thousand, one hundred twelve".