10012000012101 has 20 divisors (see below), whose sum is σ = 14956294738924. Its totient is φ = 6674623300800.

The previous prime is 10012000012099. The next prime is 10012000012117. The reversal of 10012000012101 is 10121000021001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5026559516001 + 4985440496100 = 2241999^2 + 2232810^2 .

It is not a de Polignac number, because 10012000012101 - 2¹ = 10012000012099 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012000012601) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16508091 + ... + 17103831.

Almost surely, 2^{10012000012101} is an apocalyptic number.

It is an amenable number.

10012000012101 is a deficient number, since it is larger than the sum of its proper divisors (4944294726823).

10012000012101 is an equidigital number, since it uses as much as digits as its factorization.

10012000012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803234 (or 803225 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10012000012101 its reverse (10121000021001), we get a palindrome (20133000033102).

The spelling of 10012000012101 in words is "ten trillion, twelve billion, twelve thousand, one hundred one".