101220001221001 has 8 divisors (see below), whose sum is σ = 109057792402944. Its totient is φ = 93389586787920.

The previous prime is 101220001220983. The next prime is 101220001221121. The reversal of 101220001221001 is 100122100022101.

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 101220001221001 - 2⁷ = 101220001220873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101220001251001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1844158711 + ... + 1844213596.

It is an arithmetic number, because the mean of its divisors is an integer number (13632224050368).

Almost surely, 2^{101220001221001} is an apocalyptic number.

It is an amenable number.

101220001221001 is a deficient number, since it is larger than the sum of its proper divisors (7837791181943).

101220001221001 is a wasteful number, since it uses less digits than its factorization.

101220001221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3688374431.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101220001221001 its reverse (100122100022101), we get a palindrome (201342101243102).

The spelling of 101220001221001 in words is "one hundred one trillion, two hundred twenty billion, one million, two hundred twenty-one thousand, one".