10011012000102 has 80 divisors (see below), whose sum is σ = 22523030275680. Its totient is φ = 3323478822912.

The previous prime is 10011012000091. The next prime is 10011012000109. The reversal of 10011012000102 is 20100021011001.

It is a happy number.

10011012000102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10011012000102² (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 not an unprimeable number, because it can be changed into a prime (10011012000109) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 318026388 + ... + 318057864.

It is an arithmetic number, because the mean of its divisors is an integer number (281537878446).

Almost surely, 2^{10011012000102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011012000102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11261515137840).

10011012000102 is an abundant number, since it is smaller than the sum of its proper divisors (12512018275578).

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

10011012000102 is a wasteful number, since it uses less digits than its factorization.

10011012000102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39387 (or 39378 counting only the distinct ones).

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

Adding to 10011012000102 its reverse (20100021011001), we get a palindrome (30111033011103).

The spelling of 10011012000102 in words is "ten trillion, eleven billion, twelve million, one hundred two", and thus it is an aban number.