1101122101000 has 64 divisors (see below), whose sum is σ = 2580013341360. Its totient is φ = 439869760000.

The previous prime is 1101122100979. The next prime is 1101122101007. The reversal of 1101122101000 is 1012211011.

It can be written as a sum of positive squares in 8 ways, for example, as 187923984004 + 913198116996 = 433502^2 + 955614^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1101122101007) 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, 37530 + ... + 1484470.

Almost surely, 2^{1101122101000} is an apocalyptic number.

1101122101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101122101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290006670680).

1101122101000 is an abundant number, since it is smaller than the sum of its proper divisors (1478891240360).

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

1101122101000 is a wasteful number, since it uses less digits than its factorization.

1101122101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447723 (or 1447709 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1101122101000 its reverse (1012211011), we get a palindrome (1102134312011).

The spelling of 1101122101000 in words is "one trillion, one hundred one billion, one hundred twenty-two million, one hundred one thousand".