10002121110101 has 16 divisors (see below), whose sum is σ = 10159933982208. Its totient is φ = 9844562415600.

The previous prime is 10002121110073. The next prime is 10002121110119. The reversal of 10002121110101 is 10101112120001.

It is a cyclic number.

It is not a de Polignac number, because 10002121110101 - 2³⁸ = 9727243203157 is a prime.

It is a super-2 number, since 2×10002121110101² (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 (10002121110161) 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, 513367106 + ... + 513386588.

It is an arithmetic number, because the mean of its divisors is an integer number (634995873888).

Almost surely, 2^{10002121110101} is an apocalyptic number.

It is an amenable number.

10002121110101 is a deficient number, since it is larger than the sum of its proper divisors (157812872107).

10002121110101 is a wasteful number, since it uses less digits than its factorization.

10002121110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25592.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10002121110101 its reverse (10101112120001), we get a palindrome (20103233230102).

The spelling of 10002121110101 in words is "ten trillion, two billion, one hundred twenty-one million, one hundred ten thousand, one hundred one".