1012101112201 has 16 divisors (see below), whose sum is σ = 1041627081600. Its totient is φ = 983004880000.

The previous prime is 1012101112189. The next prime is 1012101112213. The reversal of 1012101112201 is 1022111012101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1012101112189) and next prime (1012101112213).

It is a cyclic number.

It is not a de Polignac number, because 1012101112201 - 2¹⁵ = 1012101079433 is a prime.

It is a super-2 number, since 2×1012101112201² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1012101112291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6757476 + ... + 6905626.

It is an arithmetic number, because the mean of its divisors is an integer number (65101692600).

Almost surely, 2^{1012101112201} is an apocalyptic number.

It is an amenable number.

1012101112201 is a deficient number, since it is larger than the sum of its proper divisors (29525969399).

1012101112201 is a wasteful number, since it uses less digits than its factorization.

1012101112201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149600.

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

Adding to 1012101112201 its reverse (1022111012101), we get a palindrome (2034212124302).

The spelling of 1012101112201 in words is "one trillion, twelve billion, one hundred one million, one hundred twelve thousand, two hundred one".