1101122232210 has 1152 divisors, whose sum is σ = 4119887536128. Its totient is φ = 200309760000.

The previous prime is 1101122232193. The next prime is 1101122232233. The reversal of 1101122232210 is 122322211011.

1101122232210 is a `hidden beast` number, since 1 + 101 + 122 + 232 + 210 = 666.

It is a super-2 number, since 2×1101122232210² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 956665135 + ... + 956666285.

It is an arithmetic number, because the mean of its divisors is an integer number (3576291264).

Almost surely, 2^{1101122232210} is an apocalyptic number.

1101122232210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101122232210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059943768064).

1101122232210 is an abundant number, since it is smaller than the sum of its proper divisors (3018765303918).

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

1101122232210 is a wasteful number, since it uses less digits than its factorization.

1101122232210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1101122232210 its reverse (122322211011), we get a palindrome (1223444443221).

The spelling of 1101122232210 in words is "one trillion, one hundred one billion, one hundred twenty-two million, two hundred thirty-two thousand, two hundred ten".