101322012001 has 8 divisors (see below), whose sum is σ = 122608149120. Its totient is φ = 81738765888.

The previous prime is 101322011939. The next prime is 101322012107. The reversal of 101322012001 is 100210223101.

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 101322012001 - 2⁹ = 101322011489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101322012901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 425722621 + ... + 425722858.

It is an arithmetic number, because the mean of its divisors is an integer number (15326018640).

Almost surely, 2^101322012001 is an apocalyptic number.

It is an amenable number.

101322012001 is a deficient number, since it is larger than the sum of its proper divisors (21286137119).

101322012001 is an equidigital number, since it uses as much as digits as its factorization.

101322012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851445503.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 101322012001 its reverse (100210223101), we get a palindrome (201532235102).

The spelling of 101322012001 in words is "one hundred one billion, three hundred twenty-two million, twelve thousand, one".