121201011121201 has 32 divisors (see below), whose sum is σ = 133627940691840. Its totient is φ = 109010518848000.

The previous prime is 121201011121189. The next prime is 121201011121243. The reversal of 121201011121201 is 102121110102121.

It is not a de Polignac number, because 121201011121201 - 2¹³ = 121201011113009 is a prime.

It is a super-3 number, since 3×121201011121201³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121201011161201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11405001850 + ... + 11405012476.

It is an arithmetic number, because the mean of its divisors is an integer number (4175873146620).

Almost surely, 2^{121201011121201} is an apocalyptic number.

121201011121201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121201011121201 is a deficient number, since it is larger than the sum of its proper divisors (12426929570639).

121201011121201 is a wasteful number, since it uses less digits than its factorization.

121201011121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17425.

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

Adding to 121201011121201 its reverse (102121110102121), we get a palindrome (223322121223322).

The spelling of 121201011121201 in words is "one hundred twenty-one trillion, two hundred one billion, eleven million, one hundred twenty-one thousand, two hundred one".