100100100211221 has 8 divisors (see below), whose sum is σ = 145600145761824. Its totient is φ = 60666727400720.

The previous prime is 100100100211193. The next prime is 100100100211337. The reversal of 100100100211221 is 122112001001001.

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 100100100211221 - 2¹⁰ = 100100100210197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100100100211197 and 100100100211206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100100221221) 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, 1516668184986 + ... + 1516668185051.

It is an arithmetic number, because the mean of its divisors is an integer number (18200018220228).

Almost surely, 2^{100100100211221} is an apocalyptic number.

100100100211221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100100100211221 is a deficient number, since it is larger than the sum of its proper divisors (45500045550603).

100100100211221 is a wasteful number, since it uses less digits than its factorization.

100100100211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3033336370051.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100100100211221 its reverse (122112001001001), we get a palindrome (222212101212222).

The spelling of 100100100211221 in words is "one hundred trillion, one hundred billion, one hundred million, two hundred eleven thousand, two hundred twenty-one".