10000121102101 has 16 divisors (see below), whose sum is σ = 10907774483200. Its totient is φ = 9112285885248.

The previous prime is 10000121102093. The next prime is 10000121102189. The reversal of 10000121102101 is 10120112100001.

10000121102101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10000121102101 - 2³ = 10000121102093 is a prime.

It is a super-2 number, since 2×10000121102101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000121103101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4436695 + ... + 6299563.

It is an arithmetic number, because the mean of its divisors is an integer number (681735905200).

Almost surely, 2^{10000121102101} is an apocalyptic number.

It is an amenable number.

10000121102101 is a deficient number, since it is larger than the sum of its proper divisors (907653381099).

10000121102101 is a wasteful number, since it uses less digits than its factorization.

10000121102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868188.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10000121102101 its reverse (10120112100001), we get a palindrome (20120233202102).

The spelling of 10000121102101 in words is "ten trillion, one hundred twenty-one million, one hundred two thousand, one hundred one".