101212111202201 has 12 divisors (see below), whose sum is σ = 104054689943100. Its totient is φ = 98434324074240.

The previous prime is 101212111202179. The next prime is 101212111202281. The reversal of 101212111202201 is 102202111212101.

It can be written as a sum of positive squares in 6 ways, for example, as 17394863611225 + 83817247590976 = 4170715^2 + 9155176^2 .

It is a de Polignac number, because none of the positive numbers 2^k-101212111202201 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 101212111202201.

It is not an unprimeable number, because it can be changed into a prime (101212111202281) 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, 152479196 + ... + 153141533.

It is an arithmetic number, because the mean of its divisors is an integer number (8671224161925).

Almost surely, 2^{101212111202201} is an apocalyptic number.

It is an amenable number.

101212111202201 is a deficient number, since it is larger than the sum of its proper divisors (2842578740899).

101212111202201 is an frugal number, since it uses more digits than its factorization.

101212111202201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305620940 (or 305620879 counting only the distinct ones).

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

Adding to 101212111202201 its reverse (102202111212101), we get a palindrome (203414222414302).

The spelling of 101212111202201 in words is "one hundred one trillion, two hundred twelve billion, one hundred eleven million, two hundred two thousand, two hundred one".