121002120100 has 72 divisors (see below), whose sum is σ = 271990794600. Its totient is φ = 46669593600.

The previous prime is 121002120077. The next prime is 121002120121. The reversal of 121002120100 is 1021200121.

It can be written as a sum of positive squares in 12 ways, for example, as 92072192356 + 28929927744 = 303434^2 + 170088^2 .

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2179486 + ... + 2234314.

It is an arithmetic number, because the mean of its divisors is an integer number (3777649925).

Almost surely, 2^121002120100 is an apocalyptic number.

121002120100 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 121002120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135995397300).

121002120100 is an abundant number, since it is smaller than the sum of its proper divisors (150988674500).

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

121002120100 is a wasteful number, since it uses less digits than its factorization.

121002120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55633 (or 55626 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 121002120100 its reverse (1021200121), we get a palindrome (122023320221).

The spelling of 121002120100 in words is "one hundred twenty-one billion, two million, one hundred twenty thousand, one hundred".