101011120101 has 48 divisors (see below), whose sum is σ = 151934118336. Its totient is φ = 64611675648.

The previous prime is 101011120087. The next prime is 101011120103. The reversal of 101011120101 is 101021110101.

It is not a de Polignac number, because 101011120101 - 2⁵ = 101011120069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011120103) 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 47 ways as a sum of consecutive naturals, for example, 16386846 + ... + 16393008.

It is an arithmetic number, because the mean of its divisors is an integer number (3165294132).

Almost surely, 2^101011120101 is an apocalyptic number.

It is an amenable number.

101011120101 is a deficient number, since it is larger than the sum of its proper divisors (50922998235).

101011120101 is a wasteful number, since it uses less digits than its factorization.

101011120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6882 (or 6879 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101011120101 its reverse (101021110101), we get a palindrome (202032230202).

The spelling of 101011120101 in words is "one hundred one billion, eleven million, one hundred twenty thousand, one hundred one".