100002023120 has 40 divisors (see below), whose sum is σ = 232913429640. Its totient is φ = 39930490880.

The previous prime is 100002023119. The next prime is 100002023131. The reversal of 100002023120 is 21320200001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4560571024 + 95441452096 = 67532^2 + 308936^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1052921 + ... + 1143960.

It is an arithmetic number, because the mean of its divisors is an integer number (5822835741).

Almost surely, 2^100002023120 is an apocalyptic number.

100002023120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100002023120 is an abundant number, since it is smaller than the sum of its proper divisors (132911406520).

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

100002023120 is a wasteful number, since it uses less digits than its factorization.

100002023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197463 (or 2197457 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 100002023120 its reverse (21320200001), we get a palindrome (121322223121).

The spelling of 100002023120 in words is "one hundred billion, two million, twenty-three thousand, one hundred twenty".