2100432420100 has 144 divisors (see below), whose sum is σ = 5501045910528. Its totient is φ = 680537784960.

The previous prime is 2100432420061. The next prime is 2100432420157. The reversal of 2100432420100 is 10242340012.

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 47 ways as a sum of consecutive naturals, for example, 550387 + ... + 2122213.

It is an arithmetic number, because the mean of its divisors is an integer number (38201707712).

Almost surely, 2^{2100432420100} is an apocalyptic number.

2100432420100 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 2100432420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2750522955264).

2100432420100 is an abundant number, since it is smaller than the sum of its proper divisors (3400613490428).

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

2100432420100 is a wasteful number, since it uses less digits than its factorization.

2100432420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571954 (or 1571947 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 2100432420100 its reverse (10242340012), we get a palindrome (2110674760112).

The spelling of 2100432420100 in words is "two trillion, one hundred billion, four hundred thirty-two million, four hundred twenty thousand, one hundred".