10102011121801 has 2 divisors, whose sum is σ = 10102011121802. Its totient is φ = 10102011121800.

The previous prime is 10102011121747. The next prime is 10102011121837. The reversal of 10102011121801 is 10812111020101.

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., 9018153144576 + 1083857977225 = 3003024^2 + 1041085^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102011121801 - 2¹⁵ = 10102011089033 is a prime.

It is not a weakly prime, because it can be changed into another prime (10102011101801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051005560900 + 5051005560901.

It is an arithmetic number, because the mean of its divisors is an integer number (5051005560901).

Almost surely, 2^{10102011121801} is an apocalyptic number.

It is an amenable number.

10102011121801 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102011121801 is an equidigital number, since it uses as much as digits as its factorization.

10102011121801 is an evil number, because the sum of its binary digits is even.

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

Adding to 10102011121801 its reverse (10812111020101), we get a palindrome (20914122141902).

The spelling of 10102011121801 in words is "ten trillion, one hundred two billion, eleven million, one hundred twenty-one thousand, eight hundred one".