101222222002001 has 8 divisors (see below), whose sum is σ = 101240692384200. Its totient is φ = 101203752803328.

The previous prime is 101222222001959. The next prime is 101222222002039. The reversal of 101222222002001 is 100200222222101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 64162422921025 + 37059799080976 = 8010145^2 + 6087676^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101222222002001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101222222002061) 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, 180781925 + ... + 181340973.

It is an arithmetic number, because the mean of its divisors is an integer number (12655086548025).

Almost surely, 2^{101222222002001} is an apocalyptic number.

It is an amenable number.

101222222002001 is a deficient number, since it is larger than the sum of its proper divisors (18470382199).

101222222002001 is an equidigital number, since it uses as much as digits as its factorization.

101222222002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591763.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 101222222002001 its reverse (100200222222101), we get a palindrome (201422444224102).

The spelling of 101222222002001 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred twenty-two million, two thousand, one".