101012111000981 has 2 divisors, whose sum is σ = 101012111000982. Its totient is φ = 101012111000980.

The previous prime is 101012111000939. The next prime is 101012111001013. The reversal of 101012111000981 is 189000111210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71458111824100 + 29553999176881 = 8453290^2 + 5436359^2 .

It is a cyclic number.

It is not a de Polignac number, because 101012111000981 - 2⁶ = 101012111000917 is a prime.

It is a super-2 number, since 2×101012111000981² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101012111000981.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101012119000981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506055500490 + 50506055500491.

It is an arithmetic number, because the mean of its divisors is an integer number (50506055500491).

Almost surely, 2^{101012111000981} is an apocalyptic number.

It is an amenable number.

101012111000981 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012111000981 is an equidigital number, since it uses as much as digits as its factorization.

101012111000981 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 26.

The spelling of 101012111000981 in words is "one hundred one trillion, twelve billion, one hundred eleven million, nine hundred eighty-one", and thus it is an aban number.