1011101012211 has 32 divisors (see below), whose sum is σ = 1372867854336. Its totient is φ = 661817520000.

The previous prime is 1011101012149. The next prime is 1011101012219. The reversal of 1011101012211 is 1122101011101.

1011101012211 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1011101012211 - 2¹⁰ = 1011101011187 is a prime.

It is a super-2 number, since 2×1011101012211² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1011101012219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99699201 + ... + 99709341.

It is an arithmetic number, because the mean of its divisors is an integer number (42902120448).

Almost surely, 2^{1011101012211} is an apocalyptic number.

1011101012211 is a deficient number, since it is larger than the sum of its proper divisors (361766842125).

1011101012211 is a wasteful number, since it uses less digits than its factorization.

1011101012211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12963.

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

Adding to 1011101012211 its reverse (1122101011101), we get a palindrome (2133202023312).

The spelling of 1011101012211 in words is "one trillion, eleven billion, one hundred one million, twelve thousand, two hundred eleven".