101233122001 has 32 divisors (see below), whose sum is σ = 117736416000. Its totient is φ = 86140538880.

The previous prime is 101233121999. The next prime is 101233122013. The reversal of 101233122001 is 100221332101.

It is not a de Polignac number, because 101233122001 - 2¹ = 101233121999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101233122031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2160975 + ... + 2207323.

It is an arithmetic number, because the mean of its divisors is an integer number (3679263000).

Almost surely, 2^101233122001 is an apocalyptic number.

101233122001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101233122001 is a deficient number, since it is larger than the sum of its proper divisors (16503293999).

101233122001 is a wasteful number, since it uses less digits than its factorization.

101233122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46569.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101233122001 its reverse (100221332101), we get a palindrome (201454454102).

The spelling of 101233122001 in words is "one hundred one billion, two hundred thirty-three million, one hundred twenty-two thousand, one".