100210211221121 has 2 divisors, whose sum is σ = 100210211221122. Its totient is φ = 100210211221120.

The previous prime is 100210211221103. The next prime is 100210211221151. The reversal of 100210211221121 is 121122112012001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59509498777600 + 40700712443521 = 7714240^2 + 6379711^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100210211221121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100210211221121.

It is not a weakly prime, because it can be changed into another prime (100210211221151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105105610560 + 50105105610561.

It is an arithmetic number, because the mean of its divisors is an integer number (50105105610561).

Almost surely, 2^{100210211221121} is an apocalyptic number.

It is an amenable number.

100210211221121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100210211221121 is an equidigital number, since it uses as much as digits as its factorization.

100210211221121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 100210211221121 its reverse (121122112012001), we get a palindrome (221332323233122).

The spelling of 100210211221121 in words is "one hundred trillion, two hundred ten billion, two hundred eleven million, two hundred twenty-one thousand, one hundred twenty-one".