101201110212001 has 8 divisors (see below), whose sum is σ = 105602989757760. Its totient is φ = 96799383272592.

The previous prime is 101201110211989. The next prime is 101201110212061. The reversal of 101201110212001 is 100212011102101.

It is a happy number.

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 101201110212001 - 2¹⁵ = 101201110179233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101201110212061) 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, 36795415 + ... + 39450028.

It is an arithmetic number, because the mean of its divisors is an integer number (13200373719720).

Almost surely, 2^{101201110212001} is an apocalyptic number.

It is an amenable number.

101201110212001 is a deficient number, since it is larger than the sum of its proper divisors (4401879545759).

101201110212001 is an equidigital number, since it uses as much as digits as its factorization.

101201110212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76303175.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101201110212001 its reverse (100212011102101), we get a palindrome (201413121314102).

The spelling of 101201110212001 in words is "one hundred one trillion, two hundred one billion, one hundred ten million, two hundred twelve thousand, one".