10000102121009 has 96 divisors (see below), whose sum is σ = 13982705667840. Its totient is φ = 6906375705600.

The previous prime is 10000102120969. The next prime is 10000102121033. The reversal of 10000102121009 is 90012120100001.

It is not a de Polignac number, because 10000102121009 - 2¹² = 10000102116913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10000102121039) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 152340407 + ... + 152406035.

It is an arithmetic number, because the mean of its divisors is an integer number (145653184040).

Almost surely, 2^{10000102121009} is an apocalyptic number.

It is an amenable number.

10000102121009 is a deficient number, since it is larger than the sum of its proper divisors (3982603546831).

10000102121009 is a wasteful number, since it uses less digits than its factorization.

10000102121009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65899 (or 65870 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 10000102121009 in words is "ten trillion, one hundred two million, one hundred twenty-one thousand, nine".