100101012102 has 288 divisors, whose sum is σ = 287649442080. Its totient is φ = 24893568000.

The previous prime is 100101012079. The next prime is 100101012133. The reversal of 100101012102 is 201210101001.

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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14294602 + ... + 14301602.

It is an arithmetic number, because the mean of its divisors is an integer number (998782785).

Almost surely, 2^100101012102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100101012102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143824721040).

100101012102 is an abundant number, since it is smaller than the sum of its proper divisors (187548429978).

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

100101012102 is a wasteful number, since it uses less digits than its factorization.

100101012102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7108 (or 7098 counting only the distinct ones).

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

Adding to 100101012102 its reverse (201210101001), we get a palindrome (301311113103).

The spelling of 100101012102 in words is "one hundred billion, one hundred one million, twelve thousand, one hundred two".