121022112012001 has 8 divisors (see below), whose sum is σ = 123974493414408. Its totient is φ = 118069760256000.

The previous prime is 121022112011993. The next prime is 121022112012013. The reversal of 121022112012001 is 100210211220121.

It can be written as a sum of positive squares in 4 ways, for example, as 21201051891600 + 99821060120401 = 4604460^2 + 9991049^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 121022112012001 - 2³ = 121022112011993 is a prime.

It is a super-4 number, since 4×121022112012001⁴ (a number of 57 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121022112012031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 966481 + ... + 15587761.

It is an arithmetic number, because the mean of its divisors is an integer number (15496811676801).

Almost surely, 2^{121022112012001} is an apocalyptic number.

It is an amenable number.

121022112012001 is a deficient number, since it is larger than the sum of its proper divisors (2952381402407).

121022112012001 is a wasteful number, since it uses less digits than its factorization.

121022112012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14823203.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121022112012001 its reverse (100210211220121), we get a palindrome (221232323232122).

The spelling of 121022112012001 in words is "one hundred twenty-one trillion, twenty-two billion, one hundred twelve million, twelve thousand, one".