101100132121 has 16 divisors (see below), whose sum is σ = 104314125888. Its totient is φ = 97924320000.

The previous prime is 101100132101. The next prime is 101100132131. The reversal of 101100132121 is 121231001101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101100132121 - 2¹¹ = 101100130073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101100132101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3205390 + ... + 3236776.

It is an arithmetic number, because the mean of its divisors is an integer number (6519632868).

Almost surely, 2^101100132121 is an apocalyptic number.

It is an amenable number.

101100132121 is a deficient number, since it is larger than the sum of its proper divisors (3213993767).

101100132121 is a wasteful number, since it uses less digits than its factorization.

101100132121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31992.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 101100132121 its reverse (121231001101), we get a palindrome (222331133222).

The spelling of 101100132121 in words is "one hundred one billion, one hundred million, one hundred thirty-two thousand, one hundred twenty-one".