10121001002101 has 6 divisors (see below), whose sum is σ = 11124736638806. Its totient is φ = 9200910001800.

The previous prime is 10121001002059. The next prime is 10121001002131. The reversal of 10121001002101 is 10120010012101.

It can be written as a sum of positive squares in only one way, i.e., 8612405396100 + 1508595606001 = 2934690^2 + 1228249^2 .

It is not a de Polignac number, because 10121001002101 - 2⁹ = 10121001001589 is a prime.

It is a super-2 number, since 2×10121001002101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121001002131) 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 5 ways as a sum of consecutive naturals, for example, 41822318070 + ... + 41822318311.

Almost surely, 2^{10121001002101} is an apocalyptic number.

10121001002101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10121001002101 is a deficient number, since it is larger than the sum of its proper divisors (1003735636705).

10121001002101 is an equidigital number, since it uses as much as digits as its factorization.

10121001002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83644636403 (or 83644636392 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10121001002101 its reverse (10120010012101), we get a palindrome (20241011014202).

The spelling of 10121001002101 in words is "ten trillion, one hundred twenty-one billion, one million, two thousand, one hundred one".