10102101100121 has 8 divisors (see below), whose sum is σ = 10241629238880. Its totient is φ = 9962603858592.

The previous prime is 10102101100097. The next prime is 10102101100123. The reversal of 10102101100121 is 12100110120101.

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 10102101100121 - 2³⁰ = 10101027358297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102101100123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7065491 + ... + 8374088.

It is an arithmetic number, because the mean of its divisors is an integer number (1280203654860).

Almost surely, 2^{10102101100121} is an apocalyptic number.

It is an amenable number.

10102101100121 is a deficient number, since it is larger than the sum of its proper divisors (139528138759).

10102101100121 is an equidigital number, since it uses as much as digits as its factorization.

10102101100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15448615.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10102101100121 its reverse (12100110120101), we get a palindrome (22202211220222).

The spelling of 10102101100121 in words is "ten trillion, one hundred two billion, one hundred one million, one hundred thousand, one hundred twenty-one".