2431011012100 has 54 divisors (see below), whose sum is σ = 5798463567722. Its totient is φ = 884004000000.

The previous prime is 2431011012043. The next prime is 2431011012113. The reversal of 2431011012100 is 12101101342.

It can be written as a sum of positive squares in 3 ways, for example, as 391392876996 + 2039618135104 = 625614^2 + 1428152^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 100442901 + ... + 100467100.

Almost surely, 2^{2431011012100} is an apocalyptic number.

2431011012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2431011012100 is an abundant number, since it is smaller than the sum of its proper divisors (3367452555622).

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

2431011012100 is a wasteful number, since it uses less digits than its factorization.

2431011012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200910037 (or 200910019 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 2431011012100 its reverse (12101101342), we get a palindrome (2443112113442).

The spelling of 2431011012100 in words is "two trillion, four hundred thirty-one billion, eleven million, twelve thousand, one hundred".