10102010002153 has 2 divisors, whose sum is σ = 10102010002154. Its totient is φ = 10102010002152.

The previous prime is 10102010002099. The next prime is 10102010002213. The reversal of 10102010002153 is 35120001020101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5361757909209 + 4740252092944 = 2315547^2 + 2177212^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102010002153 - 2¹³ = 10102009993961 is a prime.

It is not a weakly prime, because it can be changed into another prime (10102010602153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051005001076 + 5051005001077.

It is an arithmetic number, because the mean of its divisors is an integer number (5051005001077).

Almost surely, 2^{10102010002153} is an apocalyptic number.

It is an amenable number.

10102010002153 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102010002153 is an equidigital number, since it uses as much as digits as its factorization.

10102010002153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60, while the sum is 16.

Adding to 10102010002153 its reverse (35120001020101), we get a palindrome (45222011022254).

The spelling of 10102010002153 in words is "ten trillion, one hundred two billion, ten million, two thousand, one hundred fifty-three".