10011011112010 has 16 divisors (see below), whose sum is σ = 18020623392072. Its totient is φ = 4004225913600.

The previous prime is 10011011111837. The next prime is 10011011112061. The reversal of 10011011112010 is 1021111011001.

10011011112010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8061516596961 + 1949494515049 = 2839281^2 + 1396243^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22080771 + ... + 22529590.

Almost surely, 2^{10011011112010} is an apocalyptic number.

10011011112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10011011112010 is a deficient number, since it is larger than the sum of its proper divisors (8009612280062).

10011011112010 is a wasteful number, since it uses less digits than its factorization.

10011011112010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44632809.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10011011112010 its reverse (1021111011001), we get a palindrome (11032122123011).

The spelling of 10011011112010 in words is "ten trillion, eleven billion, eleven million, one hundred twelve thousand, ten".