121121000100 has 108 divisors (see below), whose sum is σ = 379938599040. Its totient is φ = 32274129600.

The previous prime is 121121000089. The next prime is 121121000111. The reversal of 121121000100 is 1000121121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121121000089) and next prime (121121000111).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1136085 + ... + 1238115.

Almost surely, 2^121121000100 is an apocalyptic number.

121121000100 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 121121000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189969299520).

121121000100 is an abundant number, since it is smaller than the sum of its proper divisors (258817598940).

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

121121000100 is a wasteful number, since it uses less digits than its factorization.

121121000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103370 (or 103360 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 121121000100 its reverse (1000121121), we get a palindrome (122121121221).

The spelling of 121121000100 in words is "one hundred twenty-one billion, one hundred twenty-one million, one hundred", and thus it is an aban number.