2121401400300 has 864 divisors, whose sum is σ = 8312540407808. Its totient is φ = 440611799040.

The previous prime is 2121401400281. The next prime is 2121401400323. The reversal of 2121401400300 is 30041041212.

2121401400300 is a `hidden beast` number, since 21 + 214 + 0 + 1 + 400 + 30 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1628089449 + ... + 1628090751.

Almost surely, 2^{2121401400300} is an apocalyptic number.

2121401400300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121401400300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4156270203904).

2121401400300 is an abundant number, since it is smaller than the sum of its proper divisors (6191139007508).

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

2121401400300 is a wasteful number, since it uses less digits than its factorization.

2121401400300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2121401400300 its reverse (30041041212), we get a palindrome (2151442441512).

The spelling of 2121401400300 in words is "two trillion, one hundred twenty-one billion, four hundred one million, four hundred thousand, three hundred".