10012211011120 has 80 divisors (see below), whose sum is σ = 23313064439808. Its totient is φ = 3998922842880.

The previous prime is 10012211011087. The next prime is 10012211011123. The reversal of 10012211011120 is 2111011221001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×10012211011120³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10012211011120.

It is not an unprimeable number, because it can be changed into a prime (10012211011123) 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, 176894025 + ... + 176950615.

Almost surely, 2^{10012211011120} is an apocalyptic number.

10012211011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012211011120 is an abundant number, since it is smaller than the sum of its proper divisors (13300853428688).

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

10012211011120 is a wasteful number, since it uses less digits than its factorization.

10012211011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59858 (or 59852 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10012211011120 its reverse (2111011221001), we get a palindrome (12123222232121).

The spelling of 10012211011120 in words is "ten trillion, twelve billion, two hundred eleven million, eleven thousand, one hundred twenty".