100011012000102 has 96 divisors (see below), whose sum is σ = 249088537152000. Its totient is φ = 28408392866304.

The previous prime is 100011012000089. The next prime is 100011012000103. The reversal of 100011012000102 is 201000210110001.

It is a happy number.

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 (100011012000103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29984118 + ... + 33152214.

It is an arithmetic number, because the mean of its divisors is an integer number (2594672262000).

Almost surely, 2^{100011012000102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100011012000102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124544268576000).

100011012000102 is an abundant number, since it is smaller than the sum of its proper divisors (149077525151898).

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

100011012000102 is a wasteful number, since it uses less digits than its factorization.

100011012000102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3169570 (or 3169567 counting only the distinct ones).

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

Adding to 100011012000102 its reverse (201000210110001), we get a palindrome (301011222110103).

The spelling of 100011012000102 in words is "one hundred trillion, eleven billion, twelve million, one hundred two", and thus it is an aban number.