100210110121 has 8 divisors (see below), whose sum is σ = 109323267264. Its totient is φ = 91097477520.

The previous prime is 100210110079. The next prime is 100210110127. The reversal of 100210110121 is 121011012001.

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 100210110121 - 2²¹ = 100208012969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100210110098 and 100210110107.

It is not an unprimeable number, because it can be changed into a prime (100210110127) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 342820 + ... + 563866.

It is an arithmetic number, because the mean of its divisors is an integer number (13665408408).

Almost surely, 2^100210110121 is an apocalyptic number.

100210110121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100210110121 is a deficient number, since it is larger than the sum of its proper divisors (9113157143).

100210110121 is a wasteful number, since it uses less digits than its factorization.

100210110121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262271.

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

Adding to 100210110121 its reverse (121011012001), we get a palindrome (221221122122).

The spelling of 100210110121 in words is "one hundred billion, two hundred ten million, one hundred ten thousand, one hundred twenty-one".