100210000101121 has 8 divisors (see below), whose sum is σ = 100321471632384. Its totient is φ = 100098531798720.

The previous prime is 100210000101077. The next prime is 100210000101139. The reversal of 100210000101121 is 121101000012001.

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 100210000101121 - 2⁷ = 100210000100993 is a prime.

It is a Duffinian number.

100210000101121 is a modest number, since divided by 101121 gives 100210 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 100210000101098 and 100210000101107.

It is not an unprimeable number, because it can be changed into a prime (100210000101721) 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, 64207801 + ... + 65749993.

It is an arithmetic number, because the mean of its divisors is an integer number (12540183954048).

Almost surely, 2^{100210000101121} is an apocalyptic number.

It is an amenable number.

100210000101121 is a deficient number, since it is larger than the sum of its proper divisors (111471531263).

100210000101121 is an equidigital number, since it uses as much as digits as its factorization.

100210000101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614431.

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

Adding to 100210000101121 its reverse (121101000012001), we get a palindrome (221311000113122).

The spelling of 100210000101121 in words is "one hundred trillion, two hundred ten billion, one hundred one thousand, one hundred twenty-one".