100102223221 has 48 divisors (see below), whose sum is σ = 136763512704. Its totient is φ = 71287920000.

The previous prime is 100102223201. The next prime is 100102223269. The reversal of 100102223221 is 122322201001.

It is a happy number.

It is not a de Polignac number, because 100102223221 - 2²⁷ = 99968005493 is a prime.

It is a super-2 number, since 2×100102223221² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100102223195 and 100102223204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102223201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1067106 + ... + 1157116.

It is an arithmetic number, because the mean of its divisors is an integer number (2849239848).

Almost surely, 2^100102223221 is an apocalyptic number.

100102223221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100102223221 is a deficient number, since it is larger than the sum of its proper divisors (36661289483).

100102223221 is a wasteful number, since it uses less digits than its factorization.

100102223221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90154 (or 90143 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 100102223221 its reverse (122322201001), we get a palindrome (222424424222).

It can be divided in two parts, 100102 and 223221, that added together give a palindrome (323323).

The spelling of 100102223221 in words is "one hundred billion, one hundred two million, two hundred twenty-three thousand, two hundred twenty-one".