2100414030100 has 18 divisors (see below), whose sum is σ = 4557898445534. Its totient is φ = 840165612000.

The previous prime is 2100414030097. The next prime is 2100414030119. The reversal of 2100414030100 is 10304140012.

It can be written as a sum of positive squares in 3 ways, for example, as 112167387396 + 1988246642704 = 334914^2 + 1410052^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10502070051 + ... + 10502070250.

Almost surely, 2^{2100414030100} is an apocalyptic number.

2100414030100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100414030100 is an abundant number, since it is smaller than the sum of its proper divisors (2457484415434).

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

2100414030100 is a wasteful number, since it uses less digits than its factorization.

2100414030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21004140315 (or 21004140308 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2100414030100 its reverse (10304140012), we get a palindrome (2110718170112).

The spelling of 2100414030100 in words is "two trillion, one hundred billion, four hundred fourteen million, thirty thousand, one hundred".