101002122100001 has 8 divisors (see below), whose sum is σ = 101448315501600. Its totient is φ = 100555939664928.

The previous prime is 101002122099959. The next prime is 101002122100057. The reversal of 101002122100001 is 100001221200101.

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 101002122100001 - 2²² = 101002117905697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101002122100091) 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, 16001525 + ... + 21402173.

It is an arithmetic number, because the mean of its divisors is an integer number (12681039437700).

Almost surely, 2^{101002122100001} is an apocalyptic number.

It is an amenable number.

101002122100001 is a deficient number, since it is larger than the sum of its proper divisors (446193401599).

101002122100001 is an equidigital number, since it uses as much as digits as its factorization.

101002122100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5483263.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101002122100001 its reverse (100001221200101), we get a palindrome (201003343300102).

The spelling of 101002122100001 in words is "one hundred one trillion, two billion, one hundred twenty-two million, one hundred thousand, one".