100101011121221 has 4 divisors (see below), whose sum is σ = 109201103041344. Its totient is φ = 91000919201100.

The previous prime is 100101011121217. The next prime is 100101011121239. The reversal of 100101011121221 is 122121110101001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100101011121221 - 2² = 100101011121217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100101011121196 and 100101011121205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101011121211) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4550045960045 + ... + 4550045960066.

It is an arithmetic number, because the mean of its divisors is an integer number (27300275760336).

Almost surely, 2^{100101011121221} is an apocalyptic number.

100101011121221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100101011121221 is a deficient number, since it is larger than the sum of its proper divisors (9100091920123).

100101011121221 is an equidigital number, since it uses as much as digits as its factorization.

100101011121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9100091920122.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100101011121221 its reverse (122121110101001), we get a palindrome (222222121222222).

The spelling of 100101011121221 in words is "one hundred trillion, one hundred one billion, eleven million, one hundred twenty-one thousand, two hundred twenty-one".