10000011012102 has 64 divisors (see below), whose sum is σ = 23392337184000. Its totient is φ = 3157830909504.

The previous prime is 10000011012067. The next prime is 10000011012139. The reversal of 10000011012102 is 20121011000001.

It is a happy number.

It is a super-2 number, since 2×10000011012102² (a number of 27 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73386349 + ... + 73522487.

It is an arithmetic number, because the mean of its divisors is an integer number (365505268500).

Almost surely, 2^{10000011012102} is an apocalyptic number.

10000011012102 is an abundant number, since it is smaller than the sum of its proper divisors (13392326171898).

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

10000011012102 is a wasteful number, since it uses less digits than its factorization.

10000011012102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207762 (or 207756 counting only the distinct ones).

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

Adding to 10000011012102 its reverse (20121011000001), we get a palindrome (30121022012103).

The spelling of 10000011012102 in words is "ten trillion, eleven million, twelve thousand, one hundred two".