10012101001101 has 12 divisors (see below), whose sum is σ = 14462209275228. Its totient is φ = 6674602182144.

The previous prime is 10012101001099. The next prime is 10012101001139. The reversal of 10012101001101 is 10110010121001.

It can be written as a sum of positive squares in 2 ways, for example, as 5487652945476 + 4524448055625 = 2342574^2 + 2127075^2 .

It is not a de Polignac number, because 10012101001101 - 2¹ = 10012101001099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012101001501) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10502730 + ... + 11416283.

It is an arithmetic number, because the mean of its divisors is an integer number (1205184106269).

Almost surely, 2^{10012101001101} is an apocalyptic number.

It is an amenable number.

10012101001101 is a deficient number, since it is larger than the sum of its proper divisors (4450108274127).

10012101001101 is a wasteful number, since it uses less digits than its factorization.

10012101001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21969772 (or 21969769 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10012101001101 its reverse (10110010121001), we get a palindrome (20122111122102).

The spelling of 10012101001101 in words is "ten trillion, twelve billion, one hundred one million, one thousand, one hundred one".