1101122101020 has 96 divisors (see below), whose sum is σ = 3115494446400. Its totient is φ = 290554777600.

The previous prime is 1101122101007. The next prime is 1101122101021. The reversal of 1101122101020 is 201012211011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1101122100987 and 1101122101005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101122101021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10449556 + ... + 10554404.

It is an arithmetic number, because the mean of its divisors is an integer number (32453067150).

Almost surely, 2^{1101122101020} is an apocalyptic number.

1101122101020 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 1101122101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557747223200).

1101122101020 is an abundant number, since it is smaller than the sum of its proper divisors (2014372345380).

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

1101122101020 is a wasteful number, since it uses less digits than its factorization.

1101122101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106695 (or 106693 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1101122101020 its reverse (201012211011), we get a palindrome (1302134312031).

The spelling of 1101122101020 in words is "one trillion, one hundred one billion, one hundred twenty-two million, one hundred one thousand, twenty".