10000122121101 has 64 divisors (see below), whose sum is σ = 15478989926400. Its totient is φ = 5624699705856.

The previous prime is 10000122121039. The next prime is 10000122121109. The reversal of 10000122121101 is 10112122100001.

It is not a de Polignac number, because 10000122121101 - 2¹⁹ = 10000121596813 is a prime.

It is a super-3 number, since 3×10000122121101³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000122121109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 784994190 + ... + 785006928.

It is an arithmetic number, because the mean of its divisors is an integer number (241859217600).

Almost surely, 2^{10000122121101} is an apocalyptic number.

It is an amenable number.

10000122121101 is a deficient number, since it is larger than the sum of its proper divisors (5478867805299).

10000122121101 is a wasteful number, since it uses less digits than its factorization.

10000122121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14698.

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

Adding to 10000122121101 its reverse (10112122100001), we get a palindrome (20112244221102).

The spelling of 10000122121101 in words is "ten trillion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred one".