100210102133221 has 8 divisors (see below), whose sum is σ = 102095976376800. Its totient is φ = 98332069363440.

The previous prime is 100210102133209. The next prime is 100210102133233. The reversal of 100210102133221 is 122331201012001.

It is an interprime number because it is at equal distance from previous prime (100210102133209) and next prime (100210102133233).

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

It is a cyclic number.

It is not a de Polignac number, because 100210102133221 - 2¹⁷ = 100210102002149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210102133021) 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, 1960342651 + ... + 1960393768.

It is an arithmetic number, because the mean of its divisors is an integer number (12761997047100).

Almost surely, 2^{100210102133221} is an apocalyptic number.

It is an amenable number.

100210102133221 is a deficient number, since it is larger than the sum of its proper divisors (1885874243579).

100210102133221 is an equidigital number, since it uses as much as digits as its factorization.

100210102133221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3920736899.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 100210102133221 its reverse (122331201012001), we get a palindrome (222541303145222).

The spelling of 100210102133221 in words is "one hundred trillion, two hundred ten billion, one hundred two million, one hundred thirty-three thousand, two hundred twenty-one".