1210024200121 has 15 divisors (see below), whose sum is σ = 1331164782165. Its totient is φ = 1099900998900.

The previous prime is 1210024200107. The next prime is 1210024200127.

The square root of 1210024200121 is 1100011.

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

1210024200121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1210024200121 - 2⁹ = 1210024199609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1210024200095 and 1210024200104.

It is not an unprimeable number, because it can be changed into a prime (1210024200127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 133096786 + ... + 133105876.

It is an arithmetic number, because the mean of its divisors is an integer number (88744318811).

Almost surely, 2^{1210024200121} is an apocalyptic number.

1210024200121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1210024200121 is the 1100011-st square number.

1210024200121 is the 550006-th centered octagonal number.

It is an amenable number.

1210024200121 is a deficient number, since it is larger than the sum of its proper divisors (121140582044).

1210024200121 is an frugal number, since it uses more digits than its factorization.

1210024200121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18226 (or 9102 counting only the distinct ones).

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

Multiplying 1210024200121 by its sum of digits (16), we get a square (19360387201936 = 4400044²).

Multiplying 1210024200121 by its product of nonzero digits (64), we get a square (77441548807744 = 8800088²).

The spelling of 1210024200121 in words is "one trillion, two hundred ten billion, twenty-four million, two hundred thousand, one hundred twenty-one".