13121200102101 has 64 divisors (see below), whose sum is σ = 21649657870848. Its totient is φ = 6883346055168.

The previous prime is 13121200102081. The next prime is 13121200102141. The reversal of 13121200102101 is 10120100212131.

It is not a de Polignac number, because 13121200102101 - 2¹³ = 13121200093909 is a prime.

It is a super-2 number, since 2×13121200102101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121200102141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 206351025 + ... + 206414601.

It is an arithmetic number, because the mean of its divisors is an integer number (338275904232).

Almost surely, 2^{13121200102101} is an apocalyptic number.

It is an amenable number.

13121200102101 is a deficient number, since it is larger than the sum of its proper divisors (8528457768747).

13121200102101 is a wasteful number, since it uses less digits than its factorization.

13121200102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67710.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 13121200102101 its reverse (10120100212131), we get a palindrome (23241300314232).

The spelling of 13121200102101 in words is "thirteen trillion, one hundred twenty-one billion, two hundred million, one hundred two thousand, one hundred one".