100122102121221 has 12 divisors (see below), whose sum is σ = 148529484828972. Its totient is φ = 64944066240576.

The previous prime is 100122102121177. The next prime is 100122102121271. The reversal of 100122102121221 is 122121201221001.

100122102121221 is a `hidden beast` number, since 10 + 0 + 1 + 221 + 0 + 212 + 1 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81261408569121 + 18860693552100 = 9014511^2 + 4342890^2 .

It is not a de Polignac number, because 100122102121221 - 2⁶ = 100122102121157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100122102121194 and 100122102121203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122102121271) 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, 150333486336 + ... + 150333487001.

It is an arithmetic number, because the mean of its divisors is an integer number (12377457069081).

Almost surely, 2^{100122102121221} is an apocalyptic number.

It is an amenable number.

100122102121221 is a deficient number, since it is larger than the sum of its proper divisors (48407382707751).

100122102121221 is a wasteful number, since it uses less digits than its factorization.

100122102121221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300666973380 (or 300666973377 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100122102121221 its reverse (122121201221001), we get a palindrome (222243303342222).

The spelling of 100122102121221 in words is "one hundred trillion, one hundred twenty-two billion, one hundred two million, one hundred twenty-one thousand, two hundred twenty-one".