100121102010 has 48 divisors (see below), whose sum is σ = 267350411016. Its totient is φ = 25977366144.

The previous prime is 100121101999. The next prime is 100121102021. The reversal of 100121102010 is 10201121001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100121101999) and next prime (100121102021).

It can be written as a sum of positive squares in 4 ways, for example, as 80827058601 + 19294043409 = 284301^2 + 138903^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 100121101983 and 100121102001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15029869 + ... + 15036528.

Almost surely, 2^100121102010 is an apocalyptic number.

100121102010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100121102010 is an abundant number, since it is smaller than the sum of its proper divisors (167229309006).

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

100121102010 is a wasteful number, since it uses less digits than its factorization.

100121102010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30066447 (or 30066444 counting only the distinct ones).

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

Adding to 100121102010 its reverse (10201121001), we get a palindrome (110322223011).

The spelling of 100121102010 in words is "one hundred billion, one hundred twenty-one million, one hundred two thousand, ten".