10011011120012 has 72 divisors (see below), whose sum is σ = 21718086695424. Its totient is φ = 4016575805088.

The previous prime is 10011011119997. The next prime is 10011011120017. The reversal of 10011011120012 is 21002111011001.

It is a junction number, because it is equal to n+sod(n) for n = 10011011119975 and 10011011120002.

It is not an unprimeable number, because it can be changed into a prime (10011011120017) 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, 23412818 + ... + 23836569.

It is an arithmetic number, because the mean of its divisors is an integer number (301640092992).

Almost surely, 2^{10011011120012} is an apocalyptic number.

It is an amenable number.

10011011120012 is an abundant number, since it is smaller than the sum of its proper divisors (11707075575412).

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

10011011120012 is a wasteful number, since it uses less digits than its factorization.

10011011120012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47249475 (or 47249466 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10011011120012 its reverse (21002111011001), we get a palindrome (31013122131013).

The spelling of 10011011120012 in words is "ten trillion, eleven billion, eleven million, one hundred twenty thousand, twelve".