2011011101102 has 16 divisors (see below), whose sum is σ = 3114103703424. Its totient is φ = 972982368000.

The previous prime is 2011011101017. The next prime is 2011011101119.

2011011101102 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2011011101102² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 761099 + ... + 2145062.

It is an arithmetic number, because the mean of its divisors is an integer number (194631481464).

Almost surely, 2^{2011011101102} is an apocalyptic number.

2011011101102 is a deficient number, since it is larger than the sum of its proper divisors (1103092602322).

2011011101102 is a wasteful number, since it uses less digits than its factorization.

2011011101102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2917355.

The product of its (nonzero) digits is 4, while the sum is 11.

Multiplying 2011011101102 by its sum of digits (11), we get a palindrome (22121122112122).

The spelling of 2011011101102 in words is "two trillion, eleven billion, eleven million, one hundred one thousand, one hundred two".