101121321001 has 4 divisors (see below), whose sum is σ = 101203467904. Its totient is φ = 101039174100.

The previous prime is 101121320981. The next prime is 101121321013. The reversal of 101121321001 is 100123121101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 100123121101 = 61 ⋅1641362641.

It is a cyclic number.

It is not a de Polignac number, because 101121321001 - 2⁷ = 101121320873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101121321101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41071605 + ... + 41074066.

It is an arithmetic number, because the mean of its divisors is an integer number (25300866976).

Almost surely, 2^101121321001 is an apocalyptic number.

It is an amenable number.

101121321001 is a deficient number, since it is larger than the sum of its proper divisors (82146903).

101121321001 is an equidigital number, since it uses as much as digits as its factorization.

101121321001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82146902.

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

Adding to 101121321001 its reverse (100123121101), we get a palindrome (201244442102).

The spelling of 101121321001 in words is "one hundred one billion, one hundred twenty-one million, three hundred twenty-one thousand, one".