1121010101211 has 256 divisors, whose sum is σ = 2093543424000. Its totient is φ = 519148776960.

The previous prime is 1121010101173. The next prime is 1121010101219.

1121010101211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1121010101211 - 2⁶ = 1121010101147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1121010101219) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2675441560 + ... + 2675441978.

It is an arithmetic number, because the mean of its divisors is an integer number (8177904000).

Almost surely, 2^{1121010101211} is an apocalyptic number.

1121010101211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1121010101211 is a deficient number, since it is larger than the sum of its proper divisors (972533322789).

1121010101211 is a wasteful number, since it uses less digits than its factorization.

1121010101211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 1121010 and 101211, that added together give a palindrome (1222221).

The spelling of 1121010101211 in words is "one trillion, one hundred twenty-one billion, ten million, one hundred one thousand, two hundred eleven".