10001102101002 has 16 divisors (see below), whose sum is σ = 22224671335680. Its totient is φ = 3333700700316.

The previous prime is 10001102100949. The next prime is 10001102101019. The reversal of 10001102101002 is 20010120110001.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92602797178 + ... + 92602797285.

It is an arithmetic number, because the mean of its divisors is an integer number (1389041958480).

Almost surely, 2^{10001102101002} is an apocalyptic number.

10001102101002 is an abundant number, since it is smaller than the sum of its proper divisors (12223569234678).

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

10001102101002 is a wasteful number, since it uses less digits than its factorization.

10001102101002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185205594474 (or 185205594468 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10001102101002 its reverse (20010120110001), we get a palindrome (30011222211003).

The spelling of 10001102101002 in words is "ten trillion, one billion, one hundred two million, one hundred one thousand, two".