10102111021081 has 2 divisors, whose sum is σ = 10102111021082. Its totient is φ = 10102111021080.

The previous prime is 10102111021033. The next prime is 10102111021097. The reversal of 10102111021081 is 18012011120101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6150201601600 + 3951909419481 = 2479960^2 + 1987941^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102111021081 - 2¹⁵ = 10102110988313 is a prime.

It is a super-2 number, since 2×10102111021081² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10102111021181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051055510540 + 5051055510541.

It is an arithmetic number, because the mean of its divisors is an integer number (5051055510541).

Almost surely, 2^{10102111021081} is an apocalyptic number.

It is an amenable number.

10102111021081 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102111021081 is an equidigital number, since it uses as much as digits as its factorization.

10102111021081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 19.

Adding to 10102111021081 its reverse (18012011120101), we get a palindrome (28114122141182).

The spelling of 10102111021081 in words is "ten trillion, one hundred two billion, one hundred eleven million, twenty-one thousand, eighty-one".