10012121001201 has 32 divisors (see below), whose sum is σ = 14597018459136. Its totient is φ = 6053820120000.

The previous prime is 10012121001193. The next prime is 10012121001331. The reversal of 10012121001201 is 10210012121001.

It is not a de Polignac number, because 10012121001201 - 2³ = 10012121001193 is a prime.

It is a super-2 number, since 2×10012121001201² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10012121006201) 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, 59394606 + ... + 59562936.

It is an arithmetic number, because the mean of its divisors is an integer number (456156826848).

Almost surely, 2^{10012121001201} is an apocalyptic number.

10012121001201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10012121001201 is a deficient number, since it is larger than the sum of its proper divisors (4584897457935).

10012121001201 is a wasteful number, since it uses less digits than its factorization.

10012121001201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172533.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10012121001201 its reverse (10210012121001), we get a palindrome (20222133122202).

The spelling of 10012121001201 in words is "ten trillion, twelve billion, one hundred twenty-one million, one thousand, two hundred one".