102002111010001 has 2 divisors, whose sum is σ = 102002111010002. Its totient is φ = 102002111010000.

The previous prime is 102002111009989. The next prime is 102002111010013. The reversal of 102002111010001 is 100010111200201.

It is a balanced prime because it is at equal distance from previous prime (102002111009989) and next prime (102002111010013).

It can be written as a sum of positive squares in only one way, i.e., 101988265957776 + 13845052225 = 10098924^2 + 117665^2 .

It is a cyclic number.

It is not a de Polignac number, because 102002111010001 - 2²⁵ = 102002077455569 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102002111010001.

It is not a weakly prime, because it can be changed into another prime (102002111010031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51001055505000 + 51001055505001.

It is an arithmetic number, because the mean of its divisors is an integer number (51001055505001).

Almost surely, 2^{102002111010001} is an apocalyptic number.

It is an amenable number.

102002111010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102002111010001 is an equidigital number, since it uses as much as digits as its factorization.

102002111010001 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 10.

Adding to 102002111010001 its reverse (100010111200201), we get a palindrome (202012222210202).

The spelling of 102002111010001 in words is "one hundred two trillion, two billion, one hundred eleven million, ten thousand, one".