10112002101121 has 8 divisors (see below), whose sum is σ = 10114864418304. Its totient is φ = 10109140124160.

The previous prime is 10112002101107. The next prime is 10112002101137. The reversal of 10112002101121 is 12110120021101.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 10112002101121 - 2²⁷ = 10111867883393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10112002101101) 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, 66590401 + ... + 66742081.

It is an arithmetic number, because the mean of its divisors is an integer number (1264358052288).

Almost surely, 2^{10112002101121} is an apocalyptic number.

It is an amenable number.

10112002101121 is a deficient number, since it is larger than the sum of its proper divisors (2862317183).

10112002101121 is a wasteful number, since it uses less digits than its factorization.

10112002101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170111.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10112002101121 its reverse (12110120021101), we get a palindrome (22222122122222).

The spelling of 10112002101121 in words is "ten trillion, one hundred twelve billion, two million, one hundred one thousand, one hundred twenty-one".