101212112110221 has 128 divisors (see below), whose sum is σ = 181405808640000. Its totient is φ = 54481821765120.

The previous prime is 101212112110211. The next prime is 101212112110229. The reversal of 101212112110221 is 122011211212101.

It is a happy number.

101212112110221 is a `hidden beast` number, since 1 + 0 + 1 + 21 + 211 + 211 + 0 + 221 = 666.

It is not a de Polignac number, because 101212112110221 - 2⁵ = 101212112110189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101212112110194 and 101212112110203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101212112110229) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 495236785 + ... + 495441113.

It is an arithmetic number, because the mean of its divisors is an integer number (1417232880000).

Almost surely, 2^{101212112110221} is an apocalyptic number.

It is an amenable number.

101212112110221 is a deficient number, since it is larger than the sum of its proper divisors (80193696529779).

101212112110221 is a wasteful number, since it uses less digits than its factorization.

101212112110221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205144 (or 205138 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101212112110221 its reverse (122011211212101), we get a palindrome (223223323322322).

The spelling of 101212112110221 in words is "one hundred one trillion, two hundred twelve billion, one hundred twelve million, one hundred ten thousand, two hundred twenty-one".