100213033141221 has 64 divisors (see below), whose sum is σ = 183574501017600. Its totient is φ = 46936662071040.

The previous prime is 100213033141217. The next prime is 100213033141231. The reversal of 100213033141221 is 122141330312001.

It is not a de Polignac number, because 100213033141221 - 2² = 100213033141217 is a prime.

It is a super-2 number, since 2×100213033141221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100213033141191 and 100213033141200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100213033141231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 387905446 + ... + 388163703.

It is an arithmetic number, because the mean of its divisors is an integer number (2868351578400).

Almost surely, 2^{100213033141221} is an apocalyptic number.

100213033141221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100213033141221 is a deficient number, since it is larger than the sum of its proper divisors (83361467876379).

100213033141221 is a wasteful number, since it uses less digits than its factorization.

100213033141221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776069226.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 100213033141221 its reverse (122141330312001), we get a palindrome (222354363453222).

The spelling of 100213033141221 in words is "one hundred trillion, two hundred thirteen billion, thirty-three million, one hundred forty-one thousand, two hundred twenty-one".