1011122133210 has 96 divisors (see below), whose sum is σ = 3004639747200. Its totient is φ = 231101126784.

The previous prime is 1011122133169. The next prime is 1011122133223. The reversal of 1011122133210 is 123312211101.

1011122133210 is a `hidden beast` number, since 1 + 0 + 111 + 221 + 332 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 16780216 + ... + 16840364.

It is an arithmetic number, because the mean of its divisors is an integer number (31298330700).

Almost surely, 2^{1011122133210} is an apocalyptic number.

1011122133210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1011122133210 is an abundant number, since it is smaller than the sum of its proper divisors (1993517613990).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1011122133210 is a wasteful number, since it uses less digits than its factorization.

1011122133210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86852 (or 86849 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1011122133210 its reverse (123312211101), we get a palindrome (1134434344311).

It can be divided in two parts, 101112 and 2133210, that added together give a palindrome (2234322).

The spelling of 1011122133210 in words is "one trillion, eleven billion, one hundred twenty-two million, one hundred thirty-three thousand, two hundred ten".