1210242012100 has 243 divisors, whose sum is σ = 2948281630581. Its totient is φ = 430891084800.

The previous prime is 1210242012059. The next prime is 1210242012107. The reversal of 1210242012100 is 12102420121.

The square root of 1210242012100 is 1100110.

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

It can be written as a sum of positive squares in 13 ways, for example, as 588402521476 + 621839490624 = 767074^2 + 788568^2 .

It is not an unprimeable number, because it can be changed into a prime (1210242012107) 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 80 ways as a sum of consecutive naturals, for example, 8833883232 + ... + 8833883368.

Almost surely, 2^{1210242012100} is an apocalyptic number.

1210242012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1210242012100 is the 1100110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1210242012100

1210242012100 is an abundant number, since it is smaller than the sum of its proper divisors (1738039618481).

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

1210242012100 is a wasteful number, since it uses less digits than its factorization.

1210242012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 228 counting only the distinct ones).

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

Multiplying 1210242012100 by its sum of digits (16), we get a square (19363872193600 = 4400440²).

Multiplying 1210242012100 by its product of nonzero digits (64), we get a square (77455488774400 = 8800880²).

Adding to 1210242012100 its reverse (12102420121), we get a palindrome (1222344432221).

1210242012100 divided by its reverse (12102420121) gives a square (100 = 10²).

The spelling of 1210242012100 in words is "one trillion, two hundred ten billion, two hundred forty-two million, twelve thousand, one hundred".