10111011100002 has 48 divisors (see below), whose sum is σ = 22049942436600. Its totient is φ = 3348381494016.

The previous prime is 10111011099977. The next prime is 10111011100007. The reversal of 10111011100002 is 20000111011101.

It can be written as a sum of positive squares in 4 ways, for example, as 10066907319921 + 44103780081 = 3172839^2 + 210009^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10111011100007) 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, 19380438 + ... + 19895310.

Almost surely, 2^{10111011100002} is an apocalyptic number.

10111011100002 is an abundant number, since it is smaller than the sum of its proper divisors (11938931336598).

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

10111011100002 is a wasteful number, since it uses less digits than its factorization.

10111011100002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521987 (or 521984 counting only the distinct ones).

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

Adding to 10111011100002 its reverse (20000111011101), we get a palindrome (30111122111103).

The spelling of 10111011100002 in words is "ten trillion, one hundred eleven billion, eleven million, one hundred thousand, two".