20010101112137 has 2 divisors, whose sum is σ = 20010101112138. Its totient is φ = 20010101112136.

The previous prime is 20010101112109. The next prime is 20010101112149. The reversal of 20010101112137 is 73121110101002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15304221267721 + 4705879844416 = 3912061^2 + 2169304^2 .

It is a cyclic number.

It is not a de Polignac number, because 20010101112137 - 2¹⁴ = 20010101095753 is a prime.

It is not a weakly prime, because it can be changed into another prime (20010101112637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10005050556068 + 10005050556069.

It is an arithmetic number, because the mean of its divisors is an integer number (10005050556069).

Almost surely, 2^{20010101112137} is an apocalyptic number.

It is an amenable number.

20010101112137 is a deficient number, since it is larger than the sum of its proper divisors (1).

20010101112137 is an equidigital number, since it uses as much as digits as its factorization.

20010101112137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84, while the sum is 20.

Adding to 20010101112137 its reverse (73121110101002), we get a palindrome (93131211213139).

The spelling of 20010101112137 in words is "twenty trillion, ten billion, one hundred one million, one hundred twelve thousand, one hundred thirty-seven".