100210112101121 has 8 divisors (see below), whose sum is σ = 109328597532000. Its totient is φ = 91093039210240.

The previous prime is 100210112101111. The next prime is 100210112101157. The reversal of 100210112101121 is 121101211012001.

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 100210112101121 - 2²⁶ = 100210044992257 is a prime.

It is a super-3 number, since 3×100210112101121³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100210112101096 and 100210112101105.

It is not an unprimeable number, because it can be changed into a prime (100210112101111) 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, 352986656 + ... + 353270433.

It is an arithmetic number, because the mean of its divisors is an integer number (13666074691500).

Almost surely, 2^{100210112101121} is an apocalyptic number.

100210112101121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100210112101121 is a deficient number, since it is larger than the sum of its proper divisors (9118485430879).

100210112101121 is a wasteful number, since it uses less digits than its factorization.

100210112101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706269999.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100210112101121 its reverse (121101211012001), we get a palindrome (221311323113122).

The spelling of 100210112101121 in words is "one hundred trillion, two hundred ten billion, one hundred twelve million, one hundred one thousand, one hundred twenty-one".