2137620217601 has 32 divisors (see below), whose sum is σ = 2366303486976. Its totient is φ = 1914879400000.

The previous prime is 2137620217583. The next prime is 2137620217627. The reversal of 2137620217601 is 1067120267312.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2137620217601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2137620217651) 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 31 ways as a sum of consecutive naturals, for example, 216990326 + ... + 217000176.

It is an arithmetic number, because the mean of its divisors is an integer number (73946983968).

Almost surely, 2^{2137620217601} is an apocalyptic number.

It is an amenable number.

2137620217601 is a deficient number, since it is larger than the sum of its proper divisors (228683269375).

2137620217601 is a wasteful number, since it uses less digits than its factorization.

2137620217601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10933.

The product of its (nonzero) digits is 42336, while the sum is 38.

The spelling of 2137620217601 in words is "two trillion, one hundred thirty-seven billion, six hundred twenty million, two hundred seventeen thousand, six hundred one".