10122121100201 has 8 divisors (see below), whose sum is σ = 11042407966464. Its totient is φ = 9201849907120.

The previous prime is 10122121100167. The next prime is 10122121100207. The reversal of 10122121100201 is 10200112122101.

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 10122121100201 - 2⁶ = 10122121100137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10122121100207) 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, 2547065 + ... + 5170278.

It is an arithmetic number, because the mean of its divisors is an integer number (1380300995808).

Almost surely, 2^{10122121100201} is an apocalyptic number.

10122121100201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10122121100201 is a deficient number, since it is larger than the sum of its proper divisors (920286866263).

10122121100201 is a wasteful number, since it uses less digits than its factorization.

10122121100201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7836591.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10122121100201 its reverse (10200112122101), we get a palindrome (20322233222302).

The spelling of 10122121100201 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred thousand, two hundred one".