101112202121201 has 8 divisors (see below), whose sum is σ = 101233835056200. Its totient is φ = 100990642222080.

The previous prime is 101112202121129. The next prime is 101112202121219. The reversal of 101112202121201 is 102121202211101.

It can be written as a sum of positive squares in 4 ways, for example, as 72144383626225 + 28967818494976 = 8493785^2 + 5382176^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101112202121201 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101112202121201.

It is not an unprimeable number, because it can be changed into a prime (121112202121201) 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, 15488216 + ... + 21026393.

It is an arithmetic number, because the mean of its divisors is an integer number (12654229382025).

Almost surely, 2^{101112202121201} is an apocalyptic number.

It is an amenable number.

101112202121201 is a deficient number, since it is larger than the sum of its proper divisors (121632934999).

101112202121201 is a wasteful number, since it uses less digits than its factorization.

101112202121201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36517939.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101112202121201 its reverse (102121202211101), we get a palindrome (203233404332302).

The spelling of 101112202121201 in words is "one hundred one trillion, one hundred twelve billion, two hundred two million, one hundred twenty-one thousand, two hundred one".