101131122411 has 12 divisors (see below), whose sum is σ = 159358132440. Its totient is φ = 61291589280.

The previous prime is 101131122403. The next prime is 101131122413. The reversal of 101131122411 is 114221131101.

101131122411 is a `hidden beast` number, since 1 + 0 + 1 + 131 + 122 + 411 = 666.

It is not a de Polignac number, because 101131122411 - 2³ = 101131122403 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101131122413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 510763146 + ... + 510763343.

It is an arithmetic number, because the mean of its divisors is an integer number (13279844370).

Almost surely, 2^101131122411 is an apocalyptic number.

101131122411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101131122411 is a deficient number, since it is larger than the sum of its proper divisors (58227010029).

101131122411 is a wasteful number, since it uses less digits than its factorization.

101131122411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021526506 (or 1021526503 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 101131122411 its reverse (114221131101), we get a palindrome (215352253512).

The spelling of 101131122411 in words is "one hundred one billion, one hundred thirty-one million, one hundred twenty-two thousand, four hundred eleven".