2101121242400 has 72 divisors (see below), whose sum is σ = 5431089458340. Its totient is φ = 791010344960.

The previous prime is 2101121242369. The next prime is 2101121242463. The reversal of 2101121242400 is 42421211012.

It can be written as a sum of positive squares in 6 ways, for example, as 1006980138256 + 1094141104144 = 1003484^2 + 1046012^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77233505 + ... + 77260704.

Almost surely, 2^{2101121242400} is an apocalyptic number.

2101121242400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101121242400 is an abundant number, since it is smaller than the sum of its proper divisors (3329968215940).

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

2101121242400 is a wasteful number, since it uses less digits than its factorization.

2101121242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154494246 (or 154494233 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 2101121242400 its reverse (42421211012), we get a palindrome (2143542453412).

The spelling of 2101121242400 in words is "two trillion, one hundred one billion, one hundred twenty-one million, two hundred forty-two thousand, four hundred".