100210100211221 has 64 divisors (see below), whose sum is σ = 136649535321600. Its totient is φ = 70961840087040.

The previous prime is 100210100211203. The next prime is 100210100211283. The reversal of 100210100211221 is 122112001012001.

It is not a de Polignac number, because 100210100211221 - 2¹⁰ = 100210100210197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100210100211196 and 100210100211205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210100210221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13880921 + ... + 19826753.

It is an arithmetic number, because the mean of its divisors is an integer number (2135148989400).

Almost surely, 2^{100210100211221} is an apocalyptic number.

100210100211221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100210100211221 is a deficient number, since it is larger than the sum of its proper divisors (36439435110379).

100210100211221 is a wasteful number, since it uses less digits than its factorization.

100210100211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5946126.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100210100211221 its reverse (122112001012001), we get a palindrome (222322101223222).

The spelling of 100210100211221 in words is "one hundred trillion, two hundred ten billion, one hundred million, two hundred eleven thousand, two hundred twenty-one".