10101101211011 has 6 divisors (see below), whose sum is σ = 10245374036436. Its totient is φ = 9958832174900.

The previous prime is 10101101210971. The next prime is 10101101211049. The reversal of 10101101211011 is 11011210110101.

It is a happy number.

10101101211011 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 10101101211011 - 2³⁴ = 10083921341827 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10101101210983 and 10101101211001.

It is not an unprimeable number, because it can be changed into a prime (10101101211211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1001889545 + ... + 1001899626.

It is an arithmetic number, because the mean of its divisors is an integer number (1707562339406).

Almost surely, 2^{10101101211011} is an apocalyptic number.

10101101211011 is a deficient number, since it is larger than the sum of its proper divisors (144272825425).

10101101211011 is an frugal number, since it uses more digits than its factorization.

10101101211011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2003789313 (or 2003789242 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 10101101211011 its reverse (11011210110101), we get a palindrome (21112311321112).

The spelling of 10101101211011 in words is "ten trillion, one hundred one billion, one hundred one million, two hundred eleven thousand, eleven".