101211202121193 has 12 divisors (see below), whose sum is σ = 146194058134020. Its totient is φ = 67474088817696.

The previous prime is 101211202121189. The next prime is 101211202121221. The reversal of 101211202121193 is 391121202112101.

101211202121193 is a `hidden beast` number, since 101 + 211 + 20 + 212 + 119 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 79770477570624 + 21440724550569 = 8931432^2 + 4630413^2 .

It is not a de Polignac number, because 101211202121193 - 2² = 101211202121189 is a prime.

It is a super-3 number, since 3×101211202121193³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (101211202125193) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15006355 + ... + 20678807.

It is an arithmetic number, because the mean of its divisors is an integer number (12182838177835).

Almost surely, 2^{101211202121193} is an apocalyptic number.

It is an amenable number.

101211202121193 is a deficient number, since it is larger than the sum of its proper divisors (44982856012827).

101211202121193 is a wasteful number, since it uses less digits than its factorization.

101211202121193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7654968 (or 7654965 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

Adding to 101211202121193 its reverse (391121202112101), we get a palindrome (492332404233294).

The spelling of 101211202121193 in words is "one hundred one trillion, two hundred eleven billion, two hundred two million, one hundred twenty-one thousand, one hundred ninety-three".