101122103201 has 12 divisors (see below), whose sum is σ = 118455615936. Its totient is φ = 84562027680.

The previous prime is 101122103189. The next prime is 101122103263. The reversal of 101122103201 is 102301221101.

It is not a de Polignac number, because 101122103201 - 2¹⁸ = 101121841057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101122103281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4285085 + ... + 4308618.

It is an arithmetic number, because the mean of its divisors is an integer number (9871301328).

Almost surely, 2^101122103201 is an apocalyptic number.

It is an amenable number.

101122103201 is a deficient number, since it is larger than the sum of its proper divisors (17333512735).

101122103201 is an frugal number, since it uses more digits than its factorization.

101122103201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8593792 (or 8593751 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 101122103201 its reverse (102301221101), we get a palindrome (203423324302).

The spelling of 101122103201 in words is "one hundred one billion, one hundred twenty-two million, one hundred three thousand, two hundred one".