10002122122101 has 16 divisors (see below), whose sum is σ = 13496990834880. Its totient is φ = 6587669214080.

The previous prime is 10002122122063. The next prime is 10002122122121. The reversal of 10002122122101 is 10122122120001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10002122122101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002122122121) 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, 30335791 + ... + 30663731.

It is an arithmetic number, because the mean of its divisors is an integer number (843561927180).

Almost surely, 2^{10002122122101} is an apocalyptic number.

It is an amenable number.

10002122122101 is a deficient number, since it is larger than the sum of its proper divisors (3494868712779).

10002122122101 is a wasteful number, since it uses less digits than its factorization.

10002122122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450516.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10002122122101 its reverse (10122122120001), we get a palindrome (20124244242102).

The spelling of 10002122122101 in words is "ten trillion, two billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred one".