1101210121000 has 128 divisors (see below), whose sum is σ = 2817778129920. Its totient is φ = 399487200000.

The previous prime is 1101210120973. The next prime is 1101210121001. The reversal of 1101210121000 is 1210121011.

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 (1101210121001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4512105 + ... + 4749895.

It is an arithmetic number, because the mean of its divisors is an integer number (22013891640).

Almost surely, 2^{1101210121000} is an apocalyptic number.

1101210121000 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 1101210121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408889064960).

1101210121000 is an abundant number, since it is smaller than the sum of its proper divisors (1716568008920).

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

1101210121000 is a wasteful number, since it uses less digits than its factorization.

1101210121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238244 (or 238230 counting only the distinct ones).

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

Adding to 1101210121000 its reverse (1210121011), we get a palindrome (1102420242011).

The spelling of 1101210121000 in words is "one trillion, one hundred one billion, two hundred ten million, one hundred twenty-one thousand".