11012001121011 has 64 divisors (see below), whose sum is σ = 16976530644480. Its totient is φ = 6279272202240.

The previous prime is 11012001120979. The next prime is 11012001121013. The reversal of 11012001121011 is 11012110021011.

11012001121011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11012001121011 - 2⁵ = 11012001120979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11012001121013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71682795 + ... + 71836251.

It is an arithmetic number, because the mean of its divisors is an integer number (265258291320).

Almost surely, 2^{11012001121011} is an apocalyptic number.

11012001121011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11012001121011 is a deficient number, since it is larger than the sum of its proper divisors (5964529523469).

11012001121011 is a wasteful number, since it uses less digits than its factorization.

11012001121011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154276.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11012001121011 its reverse (11012110021011), we get a palindrome (22024111142022).

The spelling of 11012001121011 in words is "eleven trillion, twelve billion, one million, one hundred twenty-one thousand, eleven".