100210011221121 has 8 divisors (see below), whose sum is σ = 133613597823840. Its totient is φ = 66806549382912.

The previous prime is 100210011221029. The next prime is 100210011221213. The reversal of 100210011221121 is 121122110012001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100210011221029) and next prime (100210011221213).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100210011221121 - 2²² = 100210007026817 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100210011221121.

It is not an unprimeable number, because it can be changed into a prime (100210011221521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29300640 + ... + 32541473.

It is an arithmetic number, because the mean of its divisors is an integer number (16701699727980).

Almost surely, 2^{100210011221121} is an apocalyptic number.

It is an amenable number.

100210011221121 is a deficient number, since it is larger than the sum of its proper divisors (33403586602719).

100210011221121 is an equidigital number, since it uses as much as digits as its factorization.

100210011221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62382255.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100210011221121 its reverse (121122110012001), we get a palindrome (221332121233122).

The spelling of 100210011221121 in words is "one hundred trillion, two hundred ten billion, eleven million, two hundred twenty-one thousand, one hundred twenty-one".