101120202202221 has 24 divisors (see below), whose sum is σ = 146823445547064. Its totient is φ = 67062359992320.

The previous prime is 101120202202193. The next prime is 101120202202237. The reversal of 101120202202221 is 122202202021101.

It is a happy number.

101120202202221 is a `hidden beast` number, since 10 + 11 + 20 + 202 + 202 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 58022802252900 + 43097399949321 = 7617270^2 + 6564861^2 .

It is not a de Polignac number, because 101120202202221 - 2⁶ = 101120202202157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101120202202194 and 101120202202203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120202202021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9579541 + ... + 17146661.

It is an arithmetic number, because the mean of its divisors is an integer number (6117643564461).

Almost surely, 2^{101120202202221} is an apocalyptic number.

It is an amenable number.

101120202202221 is a deficient number, since it is larger than the sum of its proper divisors (45703243344843).

101120202202221 is a wasteful number, since it uses less digits than its factorization.

101120202202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7574861 (or 7574858 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101120202202221 its reverse (122202202021101), we get a palindrome (223322404223322).

The spelling of 101120202202221 in words is "one hundred one trillion, one hundred twenty billion, two hundred two million, two hundred two thousand, two hundred twenty-one".