102010102001 has 2 divisors, whose sum is σ = 102010102002. Its totient is φ = 102010102000.

The previous prime is 102010101983. The next prime is 102010102009. The reversal of 102010102001 is 100201010201.

It is an a-pointer prime, because the next prime (102010102009) can be obtained adding 102010102001 to its sum of digits (8).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91261389025 + 10748712976 = 302095^2 + 103676^2 .

It is a cyclic number.

It is not a de Polignac number, because 102010102001 - 2¹⁸ = 102009839857 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102010102001.

It is not a weakly prime, because it can be changed into another prime (102010102009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51005051000 + 51005051001.

It is an arithmetic number, because the mean of its divisors is an integer number (51005051001).

Almost surely, 2^102010102001 is an apocalyptic number.

It is an amenable number.

102010102001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102010102001 is an equidigital number, since it uses as much as digits as its factorization.

102010102001 is an evil number, because the sum of its binary digits is even.

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

Adding to 102010102001 its reverse (100201010201), we get a palindrome (202211112202).

It can be divided in two parts, 10201010200 and 1, that added together give a palindrome (10201010201).

The spelling of 102010102001 in words is "one hundred two billion, ten million, one hundred two thousand, one".