1101211112137 has 2 divisors, whose sum is σ = 1101211112138. Its totient is φ = 1101211112136.

The previous prime is 1101211112087. The next prime is 1101211112171. The reversal of 1101211112137 is 7312111121011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 766011798841 + 335199313296 = 875221^2 + 578964^2 .

It is a cyclic number.

It is not a de Polignac number, because 1101211112137 - 2¹⁹ = 1101210587849 is a prime.

It is not a weakly prime, because it can be changed into another prime (1101211172137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550605556068 + 550605556069.

It is an arithmetic number, because the mean of its divisors is an integer number (550605556069).

Almost surely, 2^{1101211112137} is an apocalyptic number.

It is an amenable number.

1101211112137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101211112137 is an equidigital number, since it uses as much as digits as its factorization.

1101211112137 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 22.

Adding to 1101211112137 its reverse (7312111121011), we get a palindrome (8413322233148).

The spelling of 1101211112137 in words is "one trillion, one hundred one billion, two hundred eleven million, one hundred twelve thousand, one hundred thirty-seven".