101202222000001 has 8 divisors (see below), whose sum is σ = 107182847383560. Its totient is φ = 95224658116608.

The previous prime is 101202221999971. The next prime is 101202222000013. The reversal of 101202222000001 is 100000222202101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 49609821643776 + 51592400356225 = 7043424^2 + 7182785^2 .

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 101202222000001 - 2²³ = 101202213611393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101202222040001) 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, 765306976 + ... + 765439201.

It is an arithmetic number, because the mean of its divisors is an integer number (13397855922945).

Almost surely, 2^{101202222000001} is an apocalyptic number.

It is an amenable number.

101202222000001 is a deficient number, since it is larger than the sum of its proper divisors (5980625383559).

101202222000001 is a wasteful number, since it uses less digits than its factorization.

101202222000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530750083.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 101202222000001 its reverse (100000222202101), we get a palindrome (201202444202102).

The spelling of 101202222000001 in words is "one hundred one trillion, two hundred two billion, two hundred twenty-two million, one", and thus it is an aban number.