100123034012240 has 20 divisors (see below), whose sum is σ = 232786054078644. Its totient is φ = 40049213604864.

The previous prime is 100123034012237. The next prime is 100123034012377. The reversal of 100123034012240 is 42210430321001.

It can be written as a sum of positive squares in 2 ways, for example, as 58656543467536 + 41466490544704 = 7658756^2 + 6439448^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 625768962497 + ... + 625768962656.

Almost surely, 2^{100123034012240} is an apocalyptic number.

100123034012240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100123034012240 is an abundant number, since it is smaller than the sum of its proper divisors (132663020066404).

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

100123034012240 is a wasteful number, since it uses less digits than its factorization.

100123034012240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251537925166 (or 1251537925160 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 100123034012240 its reverse (42210430321001), we get a palindrome (142333464333241).

The spelling of 100123034012240 in words is "one hundred trillion, one hundred twenty-three billion, thirty-four million, twelve thousand, two hundred forty".