100011210121 has 8 divisors (see below), whose sum is σ = 102121245864. Its totient is φ = 97921175040.

The previous prime is 100011210097. The next prime is 100011210161. The reversal of 100011210121 is 121012110001.

It can be written as a sum of positive squares in 4 ways, for example, as 19164249225 + 80846960896 = 138435^2 + 284336^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100011210121 - 2⁷ = 100011209993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100011210098 and 100011210107.

It is not an unprimeable number, because it can be changed into a prime (100011210161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4990060 + ... + 5010061.

It is an arithmetic number, because the mean of its divisors is an integer number (12765155733).

Almost surely, 2^100011210121 is an apocalyptic number.

It is an amenable number.

100011210121 is a deficient number, since it is larger than the sum of its proper divisors (2110035743).

100011210121 is a wasteful number, since it uses less digits than its factorization.

100011210121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10000331.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100011210121 its reverse (121012110001), we get a palindrome (221023320122).

It can be divided in two parts, 10001 and 1210121, that multiplied together give a palindrome (12102420121).

The spelling of 100011210121 in words is "one hundred billion, eleven million, two hundred ten thousand, one hundred twenty-one".