121201010001 has 24 divisors (see below), whose sum is σ = 180606083840. Its totient is φ = 78264281376.

The previous prime is 121201009991. The next prime is 121201010003. The reversal of 121201010001 is 100010102121.

It is a happy number.

It is not a de Polignac number, because 121201010001 - 2¹⁹ = 121200485713 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121201010003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 741811 + ... + 890328.

Almost surely, 2^121201010001 is an apocalyptic number.

It is an amenable number.

121201010001 is a deficient number, since it is larger than the sum of its proper divisors (59405073839).

121201010001 is a wasteful number, since it uses less digits than its factorization.

121201010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632405 (or 1632402 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 121201010001 its reverse (100010102121), we get a palindrome (221211112122).

It can be divided in two parts, 12120 and 1010001, that added together give a square (1022121 = 1011²).

The spelling of 121201010001 in words is "one hundred twenty-one billion, two hundred one million, ten thousand, one".