101011211221221 has 72 divisors (see below), whose sum is σ = 186427080515520. Its totient is φ = 52305249515904.

The previous prime is 101011211221201. The next prime is 101011211221273. The reversal of 101011211221221 is 122122112110101.

It is a happy number.

101011211221221 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 11 + 211 + 221 + 221 = 666.

It is not a de Polignac number, because 101011211221221 - 2⁶ = 101011211221157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101011211221194 and 101011211221203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011211221201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 261878640 + ... + 262264073.

It is an arithmetic number, because the mean of its divisors is an integer number (2589265007160).

Almost surely, 2^{101011211221221} is an apocalyptic number.

It is an amenable number.

101011211221221 is a deficient number, since it is larger than the sum of its proper divisors (85415869294299).

101011211221221 is a wasteful number, since it uses less digits than its factorization.

101011211221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524142775 (or 524142765 counting only the distinct ones).

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

Adding to 101011211221221 its reverse (122122112110101), we get a palindrome (223133323331322).

The spelling of 101011211221221 in words is "one hundred one trillion, eleven billion, two hundred eleven million, two hundred twenty-one thousand, two hundred twenty-one".