100010123434221 has 144 divisors (see below), whose sum is σ = 188189911493568. Its totient is φ = 46660765132800.

The previous prime is 100010123434183. The next prime is 100010123434237. The reversal of 100010123434221 is 122434321010001.

It is not a de Polignac number, because 100010123434221 - 2²¹ = 100010121337069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100010123434191 and 100010123434200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010123434421) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5165541 + ... + 15056661.

It is an arithmetic number, because the mean of its divisors is an integer number (1306874385372).

Almost surely, 2^{100010123434221} is an apocalyptic number.

100010123434221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100010123434221 is a deficient number, since it is larger than the sum of its proper divisors (88179788059347).

100010123434221 is a wasteful number, since it uses less digits than its factorization.

100010123434221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9891212 (or 9891192 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 100010123434221 its reverse (122434321010001), we get a palindrome (222444444444222).

The spelling of 100010123434221 in words is "one hundred trillion, ten billion, one hundred twenty-three million, four hundred thirty-four thousand, two hundred twenty-one".