101131211120981 has 2 divisors, whose sum is σ = 101131211120982. Its totient is φ = 101131211120980.

The previous prime is 101131211120963. The next prime is 101131211121029. The reversal of 101131211120981 is 189021112131101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98716326200881 + 2414884920100 = 9935609^2 + 1553990^2 .

It is a cyclic number.

It is not a de Polignac number, because 101131211120981 - 2¹⁴ = 101131211104597 is a prime.

It is a super-2 number, since 2×101131211120981² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101131211120081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50565605560490 + 50565605560491.

It is an arithmetic number, because the mean of its divisors is an integer number (50565605560491).

Almost surely, 2^{101131211120981} is an apocalyptic number.

It is an amenable number.

101131211120981 is a deficient number, since it is larger than the sum of its proper divisors (1).

101131211120981 is an equidigital number, since it uses as much as digits as its factorization.

101131211120981 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 32.

It can be divided in two parts, 101131 and 211120981, that added together give a palindrome (211222112).

The spelling of 101131211120981 in words is "one hundred one trillion, one hundred thirty-one billion, two hundred eleven million, one hundred twenty thousand, nine hundred eighty-one".