100102101112 has 64 divisors (see below), whose sum is σ = 204461782560. Its totient is φ = 45669312000.

The previous prime is 100102101109. The next prime is 100102101131. The reversal of 100102101112 is 211101201001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6746662 + ... + 6761482.

Almost surely, 2^100102101112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100102101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102230891280).

100102101112 is an abundant number, since it is smaller than the sum of its proper divisors (104359681448).

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

100102101112 is a wasteful number, since it uses less digits than its factorization.

100102101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15584 (or 15580 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100102101112 its reverse (211101201001), we get a palindrome (311203302113).

The spelling of 100102101112 in words is "one hundred billion, one hundred two million, one hundred one thousand, one hundred twelve".