101011105011 has 16 divisors (see below), whose sum is σ = 136705465728. Its totient is φ = 66328944000.

The previous prime is 101011105007. The next prime is 101011105043. The reversal of 101011105011 is 110501110101.

It is a happy number.

It is not a de Polignac number, because 101011105011 - 2² = 101011105007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101011105001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2684971 + ... + 2722331.

It is an arithmetic number, because the mean of its divisors is an integer number (8544091608).

Almost surely, 2^101011105011 is an apocalyptic number.

101011105011 is a deficient number, since it is larger than the sum of its proper divisors (35694360717).

101011105011 is a wasteful number, since it uses less digits than its factorization.

101011105011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50882.

The product of its (nonzero) digits is 5, while the sum is 12.

Adding to 101011105011 its reverse (110501110101), we get a palindrome (211512215112).

It can be divided in two parts, 10101 and 1105011, that multiplied together give a palindrome (11161716111).

The spelling of 101011105011 in words is "one hundred one billion, eleven million, one hundred five thousand, eleven".