2142234120100 has 36 divisors (see below), whose sum is σ = 4736358392724. Its totient is φ = 840725841280.

The previous prime is 2142234120083. The next prime is 2142234120101. The reversal of 2142234120100 is 10214322412.

It can be written as a sum of positive squares in 6 ways, for example, as 104557809316 + 2037676310784 = 323354^2 + 1427472^2 .

It is not an unprimeable number, because it can be changed into a prime (2142234120101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202092259 + ... + 202102858.

It is an arithmetic number, because the mean of its divisors is an integer number (131565510909).

Almost surely, 2^{2142234120100} is an apocalyptic number.

2142234120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142234120100 is an abundant number, since it is smaller than the sum of its proper divisors (2594124272624).

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

2142234120100 is a wasteful number, since it uses less digits than its factorization.

2142234120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404195184 (or 404195177 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 2142234120100 its reverse (10214322412), we get a palindrome (2152448442512).

The spelling of 2142234120100 in words is "two trillion, one hundred forty-two billion, two hundred thirty-four million, one hundred twenty thousand, one hundred".