10100122001121 has 8 divisors (see below), whose sum is σ = 13466844050560. Its totient is φ = 6733407309552.

The previous prime is 10100122001113. The next prime is 10100122001159. The reversal of 10100122001121 is 12110022100101.

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

It is not a de Polignac number, because 10100122001121 - 2³ = 10100122001113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100122001097 and 10100122001106.

It is not an unprimeable number, because it can be changed into a prime (10100122001161) 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, 4143291 + ... + 6112863.

It is an arithmetic number, because the mean of its divisors is an integer number (1683355506320).

Almost surely, 2^{10100122001121} is an apocalyptic number.

It is an amenable number.

10100122001121 is a deficient number, since it is larger than the sum of its proper divisors (3366722049439).

10100122001121 is a wasteful number, since it uses less digits than its factorization.

10100122001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3678935.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10100122001121 its reverse (12110022100101), we get a palindrome (22210144101222).

The spelling of 10100122001121 in words is "ten trillion, one hundred billion, one hundred twenty-two million, one thousand, one hundred twenty-one".