212140131234100 has 72 divisors (see below), whose sum is σ = 480369126283200. Its totient is φ = 81164955463680.

The previous prime is 212140131234067. The next prime is 212140131234149. The reversal of 212140131234100 is 1432131041212.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111487476 + ... + 113374324.

It is an arithmetic number, because the mean of its divisors is an integer number (6671793420600).

Almost surely, 2^{212140131234100} is an apocalyptic number.

212140131234100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212140131234100 is an abundant number, since it is smaller than the sum of its proper divisors (268228995049100).

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

212140131234100 is a wasteful number, since it uses less digits than its factorization.

212140131234100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1935769 (or 1935762 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 212140131234100 its reverse (1432131041212), we get a palindrome (213572262275312).

The spelling of 212140131234100 in words is "two hundred twelve trillion, one hundred forty billion, one hundred thirty-one million, two hundred thirty-four thousand, one hundred".