100102135122 has 128 divisors (see below), whose sum is σ = 247972838400. Its totient is φ = 29676326400.

The previous prime is 100102135121. The next prime is 100102135153. The reversal of 100102135122 is 221531201001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100102135095 and 100102135104.

It is not an unprimeable number, because it can be changed into a prime (100102135121) 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, 7387938 + ... + 7401474.

It is an arithmetic number, because the mean of its divisors is an integer number (1937287800).

Almost surely, 2^100102135122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100102135122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123986419200).

100102135122 is an abundant number, since it is smaller than the sum of its proper divisors (147870703278).

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

100102135122 is a wasteful number, since it uses less digits than its factorization.

100102135122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13829 (or 13823 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 100102135122 its reverse (221531201001), we get a palindrome (321633336123).

The spelling of 100102135122 in words is "one hundred billion, one hundred two million, one hundred thirty-five thousand, one hundred twenty-two".