101413001221 has 8 divisors (see below), whose sum is σ = 117048104064. Its totient is φ = 86064781200.

The previous prime is 101413001191. The next prime is 101413001251. The reversal of 101413001221 is 122100314101.

It is an interprime number because it is at equal distance from previous prime (101413001191) and next prime (101413001251).

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 101413001221 - 2⁷ = 101413001093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101413001195 and 101413001204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101413001251) 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, 71719945 + ... + 71721358.

It is an arithmetic number, because the mean of its divisors is an integer number (14631013008).

Almost surely, 2^101413001221 is an apocalyptic number.

It is an amenable number.

101413001221 is a deficient number, since it is larger than the sum of its proper divisors (15635102843).

101413001221 is a wasteful number, since it uses less digits than its factorization.

101413001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143441411.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 101413001221 its reverse (122100314101), we get a palindrome (223513315322).

The spelling of 101413001221 in words is "one hundred one billion, four hundred thirteen million, one thousand, two hundred twenty-one".