102011211232001 has 2 divisors, whose sum is σ = 102011211232002. Its totient is φ = 102011211232000.

The previous prime is 102011211231973. The next prime is 102011211232039. The reversal of 102011211232001 is 100232112110201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99010957680625 + 3000253551376 = 9950425^2 + 1732124^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102011211232001 is a prime.

It is not a weakly prime, because it can be changed into another prime (102011211232061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51005605616000 + 51005605616001.

It is an arithmetic number, because the mean of its divisors is an integer number (51005605616001).

Almost surely, 2^{102011211232001} is an apocalyptic number.

It is an amenable number.

102011211232001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102011211232001 is an equidigital number, since it uses as much as digits as its factorization.

102011211232001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 102011211232001 its reverse (100232112110201), we get a palindrome (202243323342202).

The spelling of 102011211232001 in words is "one hundred two trillion, eleven billion, two hundred eleven million, two hundred thirty-two thousand, one".