100211210202121 has 8 divisors (see below), whose sum is σ = 107156541604104. Its totient is φ = 93382607059200.

The previous prime is 100211210202107. The next prime is 100211210202143. The reversal of 100211210202121 is 121202012112001.

It can be written as a sum of positive squares in 4 ways, for example, as 84531107046400 + 15680103155721 = 9194080^2 + 3959811^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100211210202121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100211210202095 and 100211210202104.

It is not an unprimeable number, because it can be changed into a prime (100211210602121) 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, 29182062990 + ... + 29182066423.

It is an arithmetic number, because the mean of its divisors is an integer number (13394567700513).

Almost surely, 2^{100211210202121} is an apocalyptic number.

It is an amenable number.

100211210202121 is a deficient number, since it is larger than the sum of its proper divisors (6945331401983).

100211210202121 is a wasteful number, since it uses less digits than its factorization.

100211210202121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58364129531.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100211210202121 its reverse (121202012112001), we get a palindrome (221413222314122).

The spelling of 100211210202121 in words is "one hundred trillion, two hundred eleven billion, two hundred ten million, two hundred two thousand, one hundred twenty-one".