10011123201042 has 12 divisors (see below), whose sum is σ = 21690766935630. Its totient is φ = 3337041067008.

The previous prime is 10011123201041. The next prime is 10011123201049. The reversal of 10011123201042 is 24010232111001.

It can be written as a sum of positive squares in only one way, i.e., 9890150709321 + 120972491721 = 3144861^2 + 347811^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 556173511169 = 10011123201042 / (1 + 0 + 0 + 1 + 1 + 1 + 2 + 3 + 2 + 0 + 1 + 0 + 4 + 2).

It is not an unprimeable number, because it can be changed into a prime (10011123201041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 278086755567 + ... + 278086755602.

Almost surely, 2^{10011123201042} is an apocalyptic number.

10011123201042 is an abundant number, since it is smaller than the sum of its proper divisors (11679643734588).

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

10011123201042 is a wasteful number, since it uses less digits than its factorization.

10011123201042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556173511177 (or 556173511174 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10011123201042 its reverse (24010232111001), we get a palindrome (34021355312043).

The spelling of 10011123201042 in words is "ten trillion, eleven billion, one hundred twenty-three million, two hundred one thousand, forty-two".