102010101001 has 2 divisors, whose sum is σ = 102010101002. Its totient is φ = 102010101000.

The previous prime is 102010100869. The next prime is 102010101023. The reversal of 102010101001 is 100101010201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81295695376 + 20714405625 = 285124^2 + 143925^2 .

It is a cyclic number.

It is not a de Polignac number, because 102010101001 - 2²⁵ = 101976546569 is a prime.

It is not a weakly prime, because it can be changed into another prime (102010102001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51005050500 + 51005050501.

It is an arithmetic number, because the mean of its divisors is an integer number (51005050501).

Almost surely, 2^102010101001 is an apocalyptic number.

It is an amenable number.

102010101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102010101001 is an equidigital number, since it uses as much as digits as its factorization.

102010101001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 102010101001 its reverse (100101010201), we get a palindrome (202111111202).

The spelling of 102010101001 in words is "one hundred two billion, ten million, one hundred one thousand, one".