101013010102201 has 8 divisors (see below), whose sum is σ = 101357967582144. Its totient is φ = 100668618592080.

The previous prime is 101013010102177. The next prime is 101013010102219. The reversal of 101013010102201 is 102201010310101.

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 101013010102201 - 2¹⁹ = 101013009577913 is a prime.

It is a super-3 number, since 3×101013010102201³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101013010102261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141134890 + ... + 141848803.

It is an arithmetic number, because the mean of its divisors is an integer number (12669745947768).

Almost surely, 2^{101013010102201} is an apocalyptic number.

It is an amenable number.

101013010102201 is a deficient number, since it is larger than the sum of its proper divisors (344957479943).

101013010102201 is an equidigital number, since it uses as much as digits as its factorization.

101013010102201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282984911.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 101013010102201 its reverse (102201010310101), we get a palindrome (203214020412302).

The spelling of 101013010102201 in words is "one hundred one trillion, thirteen billion, ten million, one hundred two thousand, two hundred one".