100910100102 has 96 divisors (see below), whose sum is σ = 242611801344. Its totient is φ = 27881784000.

The previous prime is 100910100101. The next prime is 100910100127. The reversal of 100910100102 is 201001019001.

It is a super-3 number, since 3×100910100102³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100910100101) 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, 1237327 + ... + 1316357.

It is an arithmetic number, because the mean of its divisors is an integer number (2527206264).

Almost surely, 2^100910100102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100910100102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121305900672).

100910100102 is an abundant number, since it is smaller than the sum of its proper divisors (141701701242).

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

100910100102 is a wasteful number, since it uses less digits than its factorization.

100910100102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79194 (or 79187 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 100910100102 its reverse (201001019001), we get a palindrome (301911119103).

The spelling of 100910100102 in words is "one hundred billion, nine hundred ten million, one hundred thousand, one hundred two".