100122210101221 has 24 divisors (see below), whose sum is σ = 127057391044704. Its totient is φ = 78016916890080.

The previous prime is 100122210101219. The next prime is 100122210101269. The reversal of 100122210101221 is 122101012221001.

It is not a de Polignac number, because 100122210101221 - 2¹ = 100122210101219 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100122210101195 and 100122210101204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122210101201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157222771 + ... + 157858303.

It is an arithmetic number, because the mean of its divisors is an integer number (5294057960196).

Almost surely, 2^{100122210101221} is an apocalyptic number.

100122210101221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100122210101221 is a deficient number, since it is larger than the sum of its proper divisors (26935180943483).

100122210101221 is a wasteful number, since it uses less digits than its factorization.

100122210101221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927841 (or 927834 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100122210101221 its reverse (122101012221001), we get a palindrome (222223222322222).

The spelling of 100122210101221 in words is "one hundred trillion, one hundred twenty-two billion, two hundred ten million, one hundred one thousand, two hundred twenty-one".