2137172122071 has 12 divisors (see below), whose sum is σ = 3528030169872. Its totient is φ = 1221241212576.

The previous prime is 2137172122061. The next prime is 2137172122091. The reversal of 2137172122071 is 1702212717312.

It is a happy number.

2137172122071 is a `hidden beast` number, since 2 + 1 + 371 + 7 + 212 + 2 + 0 + 71 = 666.

It is not a de Polignac number, because 2137172122071 - 2³⁹ = 1587416308183 is a prime.

It is a super-2 number, since 2×2137172122071² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137172122061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16961683446 + ... + 16961683571.

It is an arithmetic number, because the mean of its divisors is an integer number (294002514156).

Almost surely, 2^{2137172122071} is an apocalyptic number.

2137172122071 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2137172122071 is a deficient number, since it is larger than the sum of its proper divisors (1390858047801).

2137172122071 is a wasteful number, since it uses less digits than its factorization.

2137172122071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33923367030 (or 33923367027 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

Adding to 2137172122071 its reverse (1702212717312), we get a palindrome (3839384839383).

The spelling of 2137172122071 in words is "two trillion, one hundred thirty-seven billion, one hundred seventy-two million, one hundred twenty-two thousand, seventy-one".