100102001112102 has 128 divisors (see below), whose sum is σ = 221683928150016. Its totient is φ = 29881580400000.

The previous prime is 100102001112089. The next prime is 100102001112103. The reversal of 100102001112102 is 201211100201001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102001112103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5163347253 + ... + 5163366639.

It is an arithmetic number, because the mean of its divisors is an integer number (1731905688672).

Almost surely, 2^{100102001112102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100102001112102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110841964075008).

100102001112102 is an abundant number, since it is smaller than the sum of its proper divisors (121581927037914).

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

100102001112102 is a wasteful number, since it uses less digits than its factorization.

100102001112102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23386.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100102001112102 its reverse (201211100201001), we get a palindrome (301313101313103).

The spelling of 100102001112102 in words is "one hundred trillion, one hundred two billion, one million, one hundred twelve thousand, one hundred two".