100102101012 has 72 divisors (see below), whose sum is σ = 256568031720. Its totient is φ = 32903608320.

The previous prime is 100102101007. The next prime is 100102101017. The reversal of 100102101012 is 210101201001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100102101007) and next prime (100102101017).

It can be written as a sum of positive squares in 4 ways, for example, as 2417098896 + 97685002116 = 49164^2 + 312546^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 100102100985 and 100102101003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102101017) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1153212 + ... + 1236972.

It is an arithmetic number, because the mean of its divisors is an integer number (3563444885).

Almost surely, 2^100102101012 is an apocalyptic number.

100102101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100102101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128284015860).

100102101012 is an abundant number, since it is smaller than the sum of its proper divisors (156465930708).

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

100102101012 is a wasteful number, since it uses less digits than its factorization.

100102101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84233 (or 84228 counting only the distinct ones).

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

Adding to 100102101012 its reverse (210101201001), we get a palindrome (310203302013).

The spelling of 100102101012 in words is "one hundred billion, one hundred two million, one hundred one thousand, twelve".