100102111002 has 96 divisors (see below), whose sum is σ = 230518379520. Its totient is φ = 31305968640.

The previous prime is 100102110989. The next prime is 100102111013. The reversal of 100102111002 is 200111201001.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15216738 + ... + 15223314.

It is an arithmetic number, because the mean of its divisors is an integer number (2401233120).

Almost surely, 2^100102111002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100102111002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115259189760).

100102111002 is an abundant number, since it is smaller than the sum of its proper divisors (130416268518).

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

100102111002 is a wasteful number, since it uses less digits than its factorization.

100102111002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7028 (or 7025 counting only the distinct ones).

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

Adding to 100102111002 its reverse (200111201001), we get a palindrome (300213312003).

The spelling of 100102111002 in words is "one hundred billion, one hundred two million, one hundred eleven thousand, two".