100122010332 has 96 divisors (see below), whose sum is σ = 251221146624. Its totient is φ = 30957273600.

The previous prime is 100122010283. The next prime is 100122010363. The reversal of 100122010332 is 233010221001.

It is a super-3 number, since 3×100122010332³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1863282 + ... + 1916262.

It is an arithmetic number, because the mean of its divisors is an integer number (2616886944).

Almost surely, 2^100122010332 is an apocalyptic number.

100122010332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100122010332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125610573312).

100122010332 is an abundant number, since it is smaller than the sum of its proper divisors (151099136292).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100122010332 is a wasteful number, since it uses less digits than its factorization.

100122010332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53219 (or 53217 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100122010332 its reverse (233010221001), we get a palindrome (333132231333).

The spelling of 100122010332 in words is "one hundred billion, one hundred twenty-two million, ten thousand, three hundred thirty-two".