137101010001 has 32 divisors (see below), whose sum is σ = 188549836800. Its totient is φ = 88579656000.

The previous prime is 137101009987. The next prime is 137101010009. The reversal of 137101010001 is 100010101731.

It is not a de Polignac number, because 137101010001 - 2⁷ = 137101009873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137101010009) 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, 3732676 + ... + 3769226.

It is an arithmetic number, because the mean of its divisors is an integer number (5892182400).

Almost surely, 2^137101010001 is an apocalyptic number.

It is an amenable number.

137101010001 is a deficient number, since it is larger than the sum of its proper divisors (51448826799).

137101010001 is a wasteful number, since it uses less digits than its factorization.

137101010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36917.

The product of its (nonzero) digits is 21, while the sum is 15.

Adding to 137101010001 its reverse (100010101731), we get a palindrome (237111111732).

The spelling of 137101010001 in words is "one hundred thirty-seven billion, one hundred one million, ten thousand, one".