2034142323201 has 8 divisors (see below), whose sum is σ = 3013544182560. Its totient is φ = 1356094882116.

The previous prime is 2034142323173. The next prime is 2034142323229. The reversal of 2034142323201 is 1023232414302.

2034142323201 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 1 + 423 + 232 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (2034142323173) and next prime (2034142323229).

It is not a de Polignac number, because 2034142323201 - 2²¹ = 2034140226049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 75338604563 = 2034142323201 / (2 + 0 + 3 + 4 + 1 + 4 + 2 + 3 + 2 + 3 + 2 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (2034142323701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37669302255 + ... + 37669302308.

It is an arithmetic number, because the mean of its divisors is an integer number (376693022820).

Almost surely, 2^{2034142323201} is an apocalyptic number.

It is an amenable number.

2034142323201 is a deficient number, since it is larger than the sum of its proper divisors (979401859359).

2034142323201 is an equidigital number, since it uses as much as digits as its factorization.

2034142323201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75338604572 (or 75338604566 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2034142323201 its reverse (1023232414302), we get a palindrome (3057374737503).

The spelling of 2034142323201 in words is "two trillion, thirty-four billion, one hundred forty-two million, three hundred twenty-three thousand, two hundred one".