100202022221121 has 48 divisors (see below), whose sum is σ = 149087440427328. Its totient is φ = 64803809808000.

The previous prime is 100202022221113. The next prime is 100202022221137. The reversal of 100202022221121 is 121122220202001.

It is a happy number.

100202022221121 is a `hidden beast` number, since 10 + 0 + 202 + 0 + 222 + 211 + 21 = 666.

It is not a de Polignac number, because 100202022221121 - 2³ = 100202022221113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100202022221094 and 100202022221103.

It is not an unprimeable number, because it can be changed into a prime (100202022221141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2244093646 + ... + 2244138296.

It is an arithmetic number, because the mean of its divisors is an integer number (3105988342236).

Almost surely, 2^{100202022221121} is an apocalyptic number.

It is an amenable number.

100202022221121 is a deficient number, since it is larger than the sum of its proper divisors (48885418206207).

100202022221121 is a wasteful number, since it uses less digits than its factorization.

100202022221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64462 (or 64459 counting only the distinct ones).

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

Adding to 100202022221121 its reverse (121122220202001), we get a palindrome (221324242423122).

The spelling of 100202022221121 in words is "one hundred trillion, two hundred two billion, twenty-two million, two hundred twenty-one thousand, one hundred twenty-one".