101210010111133 has 24 divisors (see below), whose sum is σ = 130385662269120. Its totient is φ = 76320912470400.

The previous prime is 101210010111121. The next prime is 101210010111137. The reversal of 101210010111133 is 331111010012101.

It is not a de Polignac number, because 101210010111133 - 2²¹ = 101210008013981 is a prime.

It is a super-2 number, since 2×101210010111133² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101210010111137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 683805148 + ... + 683953141.

It is an arithmetic number, because the mean of its divisors is an integer number (5432735927880).

Almost surely, 2^{101210010111133} is an apocalyptic number.

It is an amenable number.

101210010111133 is a deficient number, since it is larger than the sum of its proper divisors (29175652157987).

101210010111133 is a wasteful number, since it uses less digits than its factorization.

101210010111133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367758369 (or 1367758338 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 101210010111133 its reverse (331111010012101), we get a palindrome (432321020123234).

The spelling of 101210010111133 in words is "one hundred one trillion, two hundred ten billion, ten million, one hundred eleven thousand, one hundred thirty-three".