10101345502121 has 8 divisors (see below), whose sum is σ = 10156364117064. Its totient is φ = 10046364693120.

The previous prime is 10101345502093. The next prime is 10101345502133. The reversal of 10101345502121 is 12120554310101.

It can be written as a sum of positive squares in 4 ways, for example, as 5150920750096 + 4950424752025 = 2269564^2 + 2224955^2 .

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 10101345502121 - 2⁶ = 10101345502057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10101345502151) 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, 8915570 + ... + 9984491.

It is an arithmetic number, because the mean of its divisors is an integer number (1269545514633).

Almost surely, 2^{10101345502121} is an apocalyptic number.

It is an amenable number.

10101345502121 is a deficient number, since it is larger than the sum of its proper divisors (55018614943).

10101345502121 is a wasteful number, since it uses less digits than its factorization.

10101345502121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18902971.

The product of its (nonzero) digits is 1200, while the sum is 26.

Adding to 10101345502121 its reverse (12120554310101), we get a palindrome (22221899812222).

The spelling of 10101345502121 in words is "ten trillion, one hundred one billion, three hundred forty-five million, five hundred two thousand, one hundred twenty-one".