101000121122212 has 48 divisors (see below), whose sum is σ = 194362290187632. Its totient is φ = 45641274992640.

The previous prime is 101000121122183. The next prime is 101000121122213. The reversal of 101000121122212 is 212221121000101.

It can be written as a sum of positive squares in 8 ways, for example, as 6594490464676 + 94405630657536 = 2567974^2 + 9716256^2 .

It is not an unprimeable number, because it can be changed into a prime (101000121122213) 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, 96585739 + ... + 97625842.

It is an arithmetic number, because the mean of its divisors is an integer number (4049214378909).

Almost surely, 2^{101000121122212} is an apocalyptic number.

It is an amenable number.

101000121122212 is a deficient number, since it is larger than the sum of its proper divisors (93362169065420).

101000121122212 is a wasteful number, since it uses less digits than its factorization.

101000121122212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194211808 (or 194211806 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101000121122212 its reverse (212221121000101), we get a palindrome (313221242122313).

The spelling of 101000121122212 in words is "one hundred one trillion, one hundred twenty-one million, one hundred twenty-two thousand, two hundred twelve".