10012100000021 has 6 divisors (see below), whose sum is σ = 11646728571510. Its totient is φ = 8581799999976.

The previous prime is 10012100000009. The next prime is 10012100000029. The reversal of 10012100000021 is 12000000121001.

It can be written as a sum of positive squares in only one way, i.e., 9629316496996 + 382783503025 = 3103114^2 + 618695^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10012100000021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10012099999954 and 10012100000008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012100000029) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 102164285666 + ... + 102164285763.

It is an arithmetic number, because the mean of its divisors is an integer number (1941121428585).

Almost surely, 2^{10012100000021} is an apocalyptic number.

It is an amenable number.

10012100000021 is a deficient number, since it is larger than the sum of its proper divisors (1634628571489).

10012100000021 is an equidigital number, since it uses as much as digits as its factorization.

10012100000021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204328571443 (or 204328571436 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10012100000021 its reverse (12000000121001), we get a palindrome (22012100121022).

It can be divided in two parts, 100 and 12100000021, that added together give a palindrome (12100000121).

The spelling of 10012100000021 in words is "ten trillion, twelve billion, one hundred million, twenty-one", and thus it is an aban number.