101201867984381 has 2 divisors, whose sum is σ = 101201867984382. Its totient is φ = 101201867984380.

The previous prime is 101201867984377. The next prime is 101201867984429. The reversal of 101201867984381 is 183489768102101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66017396261881 + 35184471722500 = 8125109^2 + 5931650^2 .

It is a cyclic number.

It is not a de Polignac number, because 101201867984381 - 2² = 101201867984377 is a prime.

It is a super-2 number, since 2×101201867984381² (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 101201867984381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101201867984311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50600933992190 + 50600933992191.

It is an arithmetic number, because the mean of its divisors is an integer number (50600933992191).

Almost surely, 2^{101201867984381} is an apocalyptic number.

It is an amenable number.

101201867984381 is a deficient number, since it is larger than the sum of its proper divisors (1).

101201867984381 is an equidigital number, since it uses as much as digits as its factorization.

101201867984381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4644864, while the sum is 59.

The spelling of 101201867984381 in words is "one hundred one trillion, two hundred one billion, eight hundred sixty-seven million, nine hundred eighty-four thousand, three hundred eighty-one".