10000102122101 has 32 divisors (see below), whose sum is σ = 12851235801600. Its totient is φ = 7563273087744.

The previous prime is 10000102122097. The next prime is 10000102122121. The reversal of 10000102122101 is 10122120100001.

It is a cyclic number.

It is not a de Polignac number, because 10000102122101 - 2² = 10000102122097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000102122121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1699811 + ... + 4784303.

It is an arithmetic number, because the mean of its divisors is an integer number (401601118800).

Almost surely, 2^{10000102122101} is an apocalyptic number.

It is an amenable number.

10000102122101 is a deficient number, since it is larger than the sum of its proper divisors (2851133679499).

10000102122101 is a wasteful number, since it uses less digits than its factorization.

10000102122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3086085.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10000102122101 its reverse (10122120100001), we get a palindrome (20122222222102).

The spelling of 10000102122101 in words is "ten trillion, one hundred two million, one hundred twenty-two thousand, one hundred one".