1211122110101 has 16 divisors (see below), whose sum is σ = 1266837446448. Its totient is φ = 1156889548800.

The previous prime is 1211122110089. The next prime is 1211122110137. The reversal of 1211122110101 is 1010112211121.

It can be written as a sum of positive squares in 8 ways, for example, as 3318912100 + 1207803198001 = 57610^2 + 1099001^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1211122110101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211122110181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1066790 + ... + 1886871.

It is an arithmetic number, because the mean of its divisors is an integer number (79177340403).

Almost surely, 2^{1211122110101} is an apocalyptic number.

It is an amenable number.

1211122110101 is a deficient number, since it is larger than the sum of its proper divisors (55715336347).

1211122110101 is a wasteful number, since it uses less digits than its factorization.

1211122110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953912.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1211122110101 its reverse (1010112211121), we get a palindrome (2221234321222).

The spelling of 1211122110101 in words is "one trillion, two hundred eleven billion, one hundred twenty-two million, one hundred ten thousand, one hundred one".