100102342122 has 96 divisors (see below), whose sum is σ = 239721313104. Its totient is φ = 30054758400.

The previous prime is 100102342121. The next prime is 100102342157. The reversal of 100102342122 is 221243201001.

It is a happy number.

100102342122 is a `hidden beast` number, since 100 + 102 + 342 + 122 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 34934974281 + 65167367841 = 186909^2 + 255279^2 .

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 = 100102342095 and 100102342104.

It is not an unprimeable number, because it can be changed into a prime (100102342121) 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, 618172 + ... + 763112.

Almost surely, 2^100102342122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100102342122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119860656552).

100102342122 is an abundant number, since it is smaller than the sum of its proper divisors (139618970982).

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

100102342122 is a wasteful number, since it uses less digits than its factorization.

100102342122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145064 (or 145061 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100102342122 its reverse (221243201001), we get a palindrome (321345543123).

The spelling of 100102342122 in words is "one hundred billion, one hundred two million, three hundred forty-two thousand, one hundred twenty-two".