100102221122101 has 4 divisors (see below), whose sum is σ = 109202423042304. Its totient is φ = 91002019201900.

The previous prime is 100102221122093. The next prime is 100102221122117. The reversal of 100102221122101 is 101221122201001.

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 100102221122101 - 2³ = 100102221122093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102221122131) 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, 4550100960085 + ... + 4550100960106.

It is an arithmetic number, because the mean of its divisors is an integer number (27300605760576).

Almost surely, 2^{100102221122101} is an apocalyptic number.

100102221122101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100102221122101 is a deficient number, since it is larger than the sum of its proper divisors (9100201920203).

100102221122101 is an equidigital number, since it uses as much as digits as its factorization.

100102221122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9100201920202.

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

Adding to 100102221122101 its reverse (101221122201001), we get a palindrome (201323343323102).

It can be divided in two parts, 100 and 102221122101, that added together give a palindrome (102221122201).

The spelling of 100102221122101 in words is "one hundred trillion, one hundred two billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred one".