100210121100213 has 8 divisors (see below), whose sum is σ = 134196959844000. Its totient is φ = 66515014878288.

The previous prime is 100210121100169. The next prime is 100210121100269. The reversal of 100210121100213 is 312001121012001.

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

It is not a de Polignac number, because 100210121100213 - 2¹⁰ = 100210121099189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100210121100192 and 100210121100201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210121110213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72933129663 + ... + 72933131036.

It is an arithmetic number, because the mean of its divisors is an integer number (16774619980500).

Almost surely, 2^{100210121100213} is an apocalyptic number.

It is an amenable number.

100210121100213 is a deficient number, since it is larger than the sum of its proper divisors (33986838743787).

100210121100213 is a wasteful number, since it uses less digits than its factorization.

100210121100213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145866260931.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 100210121100213 its reverse (312001121012001), we get a palindrome (412211242112214).

The spelling of 100210121100213 in words is "one hundred trillion, two hundred ten billion, one hundred twenty-one million, one hundred thousand, two hundred thirteen".