100010101122 has 24 divisors (see below), whose sum is σ = 222545001276. Its totient is φ = 32435708256.

The previous prime is 100010101063. The next prime is 100010101153. The reversal of 100010101122 is 221101010001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 95523646761 + 4486454361 = 309069^2 + 66981^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75081993 + ... + 75083324.

Almost surely, 2^100010101122 is an apocalyptic number.

100010101122 is an abundant number, since it is smaller than the sum of its proper divisors (122534900154).

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

100010101122 is a wasteful number, since it uses less digits than its factorization.

100010101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150165362 (or 150165359 counting only the distinct ones).

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

Adding to 100010101122 its reverse (221101010001), we get a palindrome (321111111123).

The spelling of 100010101122 in words is "one hundred billion, ten million, one hundred one thousand, one hundred twenty-two".