121000022000001 has 27 divisors (see below), whose sum is σ = 175028465898819. Its totient is φ = 80551159322832.

The previous prime is 121000021999991. The next prime is 121000022000023. The reversal of 121000022000001 is 100000220000121.

The square root of 121000022000001 is 11000001.

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., 69659071132401 + 51340950867600 = 8346201^2 + 7165260^2 .

It is not a de Polignac number, because 121000022000001 - 2⁴³ = 112203928977793 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (121000022000041) 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 26 ways as a sum of consecutive naturals, for example, 27357000276 + ... + 27357004698.

Almost surely, 2^{121000022000001} is an apocalyptic number.

121000022000001 is the 11000001-st square number.

121000022000001 is the 5500001-st centered octagonal number.

It is an amenable number.

121000022000001 is a deficient number, since it is larger than the sum of its proper divisors (54028443898818).

121000022000001 is an frugal number, since it uses more digits than its factorization.

121000022000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10510 (or 5255 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 121000022000001 its reverse (100000220000121), we get a palindrome (221000242000122).

The spelling of 121000022000001 in words is "one hundred twenty-one trillion, twenty-two million, one", and thus it is an aban number.