101102010212201 has 8 divisors (see below), whose sum is σ = 102103570262664. Its totient is φ = 100100460947200.

The previous prime is 101102010212191. The next prime is 101102010212233. The reversal of 101102010212201 is 102212010201101.

It can be written as a sum of positive squares in 4 ways, for example, as 74316054696976 + 26785955515225 = 8620676^2 + 5175515^2 .

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 101102010212201 - 2²² = 101102006017897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101102010212261) 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, 16842131 + ... + 22042263.

It is an arithmetic number, because the mean of its divisors is an integer number (12762946282833).

Almost surely, 2^{101102010212201} is an apocalyptic number.

It is an amenable number.

101102010212201 is a deficient number, since it is larger than the sum of its proper divisors (1001560050463).

101102010212201 is a wasteful number, since it uses less digits than its factorization.

101102010212201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5392731.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101102010212201 its reverse (102212010201101), we get a palindrome (203314020413302).

The spelling of 101102010212201 in words is "one hundred one trillion, one hundred two billion, ten million, two hundred twelve thousand, two hundred one".