10002100112121 has 8 divisors (see below), whose sum is σ = 14361989904640. Its totient is φ = 6155138530512.

The previous prime is 10002100112119. The next prime is 10002100112189. The reversal of 10002100112121 is 12121100120001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10002100112121 - 2¹ = 10002100112119 is a prime.

It is a super-2 number, since 2×10002100112121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002100112097 and 10002100112106.

It is not an unprimeable number, because it can be changed into a prime (10002100114121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128232052681 + ... + 128232052758.

It is an arithmetic number, because the mean of its divisors is an integer number (1795248738080).

Almost surely, 2^{10002100112121} is an apocalyptic number.

It is an amenable number.

10002100112121 is a deficient number, since it is larger than the sum of its proper divisors (4359889792519).

10002100112121 is a wasteful number, since it uses less digits than its factorization.

10002100112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256464105455.

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

Adding to 10002100112121 its reverse (12121100120001), we get a palindrome (22123200232122).

The spelling of 10002100112121 in words is "ten trillion, two billion, one hundred million, one hundred twelve thousand, one hundred twenty-one".