10001000022102 has 64 divisors (see below), whose sum is σ = 22316181592320. Its totient is φ = 3319909920000.

The previous prime is 10001000022077. The next prime is 10001000022163. The reversal of 10001000022102 is 20122000010001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101917702 + ... + 102015782.

It is an arithmetic number, because the mean of its divisors is an integer number (348690337380).

Almost surely, 2^{10001000022102} is an apocalyptic number.

10001000022102 is an abundant number, since it is smaller than the sum of its proper divisors (12315181570218).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10001000022102 is a wasteful number, since it uses less digits than its factorization.

10001000022102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105866 (or 105860 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10001000022102 its reverse (20122000010001), we get a palindrome (30123000032103).

The spelling of 10001000022102 in words is "ten trillion, one billion, twenty-two thousand, one hundred two".