10011131222112 has 48 divisors (see below), whose sum is σ = 29199132733680. Its totient is φ = 3337043740416.

The previous prime is 10011131222101. The next prime is 10011131222123. The reversal of 10011131222112 is 21122213111001.

It is a happy number.

10011131222112 is a `hidden beast` number, since 10 + 0 + 111 + 312 + 221 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (10011131222101) and next prime (10011131222123).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5793477853 + ... + 5793479580.

It is an arithmetic number, because the mean of its divisors is an integer number (608315265285).

Almost surely, 2^{10011131222112} is an apocalyptic number.

10011131222112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10011131222112 is an abundant number, since it is smaller than the sum of its proper divisors (19188001511568).

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

10011131222112 is a wasteful number, since it uses less digits than its factorization.

10011131222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11586957452 (or 11586957438 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 10011131222112 its reverse (21122213111001), we get a palindrome (31133344333113).

The spelling of 10011131222112 in words is "ten trillion, eleven billion, one hundred thirty-one million, two hundred twenty-two thousand, one hundred twelve".