121002420012100 has 135 divisors (see below), whose sum is σ = 288862757729805. Its totient is φ = 43996039956000.

The previous prime is 121002420012083. The next prime is 121002420012119. The reversal of 121002420012100 is 1210024200121.

The square root of 121002420012100 is 11000110.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 43560871204356 + 77441548807744 = 6600066^2 + 8800088^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13310128555 + ... + 13310137645.

Almost surely, 2^{121002420012100} is an apocalyptic number.

121002420012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121002420012100 is the 11000110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121002420012100

121002420012100 is an abundant number, since it is smaller than the sum of its proper divisors (167860337717705).

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

121002420012100 is an frugal number, since it uses more digits than its factorization.

121002420012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18240 (or 9109 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 121002420012100 its reverse (1210024200121), we get a palindrome (122212444212221).

121002420012100 divided by its reverse (1210024200121) gives a square (100 = 10²).

The spelling of 121002420012100 in words is "one hundred twenty-one trillion, two billion, four hundred twenty million, twelve thousand, one hundred".