10213031100101 has 2 divisors, whose sum is σ = 10213031100102. Its totient is φ = 10213031100100.

The previous prime is 10213031100071. The next prime is 10213031100109. The reversal of 10213031100101 is 10100113031201.

It is a happy number.

10213031100101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6084860496001 + 4128170604100 = 2466751^2 + 2031790^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10213031100101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10213031100109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5106515550050 + 5106515550051.

It is an arithmetic number, because the mean of its divisors is an integer number (5106515550051).

Almost surely, 2^{10213031100101} is an apocalyptic number.

It is an amenable number.

10213031100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10213031100101 is an equidigital number, since it uses as much as digits as its factorization.

10213031100101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 10213031100101 its reverse (10100113031201), we get a palindrome (20313144131302).

It can be divided in two parts, 10213031100 and 101, that added together give a palindrome (10213031201).

The spelling of 10213031100101 in words is "ten trillion, two hundred thirteen billion, thirty-one million, one hundred thousand, one hundred one".