10010111101002 has 24 divisors (see below), whose sum is σ = 21834134957700. Its totient is φ = 3314309714880.

The previous prime is 10010111100967. The next prime is 10010111101031. The reversal of 10010111101002 is 20010111101001.

It can be written as a sum of positive squares in 2 ways, for example, as 6839642403441 + 3170468697561 = 2615271^2 + 1780581^2 .

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1866162699 + ... + 1866168062.

Almost surely, 2^{10010111101002} is an apocalyptic number.

10010111101002 is an abundant number, since it is smaller than the sum of its proper divisors (11824023856698).

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

10010111101002 is a wasteful number, since it uses less digits than its factorization.

10010111101002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3732330918 (or 3732330915 counting only the distinct ones).

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

Adding to 10010111101002 its reverse (20010111101001), we get a palindrome (30020222202003).

Subtracting 10010111101002 from its reverse (20010111101001), we obtain a palindrome (9999999999999).

The spelling of 10010111101002 in words is "ten trillion, ten billion, one hundred eleven million, one hundred one thousand, two".