10121202122101 has 16 divisors (see below), whose sum is σ = 11920014086400. Its totient is φ = 8589421856400.

The previous prime is 10121202122099. The next prime is 10121202122111. The reversal of 10121202122101 is 10122120212101.

It is not a de Polignac number, because 10121202122101 - 2¹ = 10121202122099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121202122111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146043961 + ... + 146113246.

It is an arithmetic number, because the mean of its divisors is an integer number (745000880400).

Almost surely, 2^{10121202122101} is an apocalyptic number.

It is an amenable number.

10121202122101 is a deficient number, since it is larger than the sum of its proper divisors (1798811964299).

10121202122101 is an equidigital number, since it uses as much as digits as its factorization.

10121202122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292157329 (or 292157315 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10121202122101 its reverse (10122120212101), we get a palindrome (20243322334202).

Subtracting 10121202122101 from its reverse (10122120212101), we obtain a square (918090000 = 30300²).

The spelling of 10121202122101 in words is "ten trillion, one hundred twenty-one billion, two hundred two million, one hundred twenty-two thousand, one hundred one".