101232121001 has 8 divisors (see below), whose sum is σ = 110468556000. Its totient is φ = 92001271840.

The previous prime is 101232120971. The next prime is 101232121013. The reversal of 101232121001 is 100121232101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101232121001 - 2⁶ = 101232120937 is a prime.

It is a super-2 number, since 2×101232121001² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101232121801) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1358516 + ... + 1431093.

It is an arithmetic number, because the mean of its divisors is an integer number (13808569500).

Almost surely, 2^101232121001 is an apocalyptic number.

101232121001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101232121001 is a deficient number, since it is larger than the sum of its proper divisors (9236434999).

101232121001 is a wasteful number, since it uses less digits than its factorization.

101232121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792919.

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

Adding to 101232121001 its reverse (100121232101), we get a palindrome (201353353102).

Subtracting from 101232121001 its reverse (100121232101), we obtain a square (1110888900 = 33330²).

The spelling of 101232121001 in words is "one hundred one billion, two hundred thirty-two million, one hundred twenty-one thousand, one".