10102012020101 has 8 divisors (see below), whose sum is σ = 10153938593304. Its totient is φ = 10050091985920.

The previous prime is 10102012020053. The next prime is 10102012020103. The reversal of 10102012020101 is 10102021020101.

It can be written as a sum of positive squares in 4 ways, for example, as 7035485697601 + 3066526322500 = 2652449^2 + 1751150^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-10102012020101 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102012020103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1478141 + ... + 4731693.

It is an arithmetic number, because the mean of its divisors is an integer number (1269242324163).

Almost surely, 2^{10102012020101} is an apocalyptic number.

It is an amenable number.

10102012020101 is a deficient number, since it is larger than the sum of its proper divisors (51926573203).

10102012020101 is a wasteful number, since it uses less digits than its factorization.

10102012020101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3269511.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10102012020101 its reverse (10102021020101), we get a palindrome (20204033040202).

Subtracting 10102012020101 from its reverse (10102021020101), we obtain a square (9000000 = 3000²).

The spelling of 10102012020101 in words is "ten trillion, one hundred two billion, twelve million, twenty thousand, one hundred one".