10001101199981 has 2 divisors, whose sum is σ = 10001101199982. Its totient is φ = 10001101199980.

The previous prime is 10001101199923. The next prime is 10001101199993. The reversal of 10001101199981 is 18999110110001.

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., 8796889062025 + 1204212137956 = 2965955^2 + 1097366^2 .It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 18666110110001 and 10001101166681.

It is a cyclic number.

It is not a de Polignac number, because 10001101199981 - 2¹⁴ = 10001101183597 is a prime.

It is a super-2 number, since 2×10001101199981² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001101199381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000550599990 + 5000550599991.

It is an arithmetic number, because the mean of its divisors is an integer number (5000550599991).

Almost surely, 2^{10001101199981} is an apocalyptic number.

It is an amenable number.

10001101199981 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001101199981 is an equidigital number, since it uses as much as digits as its factorization.

10001101199981 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5832, while the sum is 41.

The spelling of 10001101199981 in words is "ten trillion, one billion, one hundred one million, one hundred ninety-nine thousand, nine hundred eighty-one".