10120121210001 has 32 divisors (see below), whose sum is σ = 14922446330880. Its totient is φ = 6049589432000.

The previous prime is 10120121209987. The next prime is 10120121210029. The reversal of 10120121210001 is 10001212102101.

It is a cyclic number.

It is not a de Polignac number, because 10120121210001 - 2¹⁴ = 10120121193617 is a prime.

It is a super-2 number, since 2×10120121210001² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10120121210041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4895931 + ... + 6649088.

It is an arithmetic number, because the mean of its divisors is an integer number (466326447840).

Almost surely, 2^{10120121210001} is an apocalyptic number.

10120121210001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10120121210001 is a deficient number, since it is larger than the sum of its proper divisors (4802325120879).

10120121210001 is a wasteful number, since it uses less digits than its factorization.

10120121210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11545397.

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

Adding to 10120121210001 its reverse (10001212102101), we get a palindrome (20121333312102).

The spelling of 10120121210001 in words is "ten trillion, one hundred twenty billion, one hundred twenty-one million, two hundred ten thousand, one".