1000121343100 has 144 divisors (see below), whose sum is σ = 2402265745152. Its totient is φ = 358355200000.

The previous prime is 1000121342989. The next prime is 1000121343101. The reversal of 1000121343100 is 13431210001.

It is a super-2 number, since 2×1000121343100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000121343101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237499995 + ... + 237504205.

It is an arithmetic number, because the mean of its divisors is an integer number (16682401008).

Almost surely, 2^{1000121343100} is an apocalyptic number.

1000121343100 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 1000121343100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201132872576).

1000121343100 is an abundant number, since it is smaller than the sum of its proper divisors (1402144402052).

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

1000121343100 is a wasteful number, since it uses less digits than its factorization.

1000121343100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7348 (or 7341 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1000121343100 its reverse (13431210001), we get a palindrome (1013552553101).

The spelling of 1000121343100 in words is "one trillion, one hundred twenty-one million, three hundred forty-three thousand, one hundred".