101021187645768 has 128 divisors (see below), whose sum is σ = 285390851558400. Its totient is φ = 29565887467776.

The previous prime is 101021187645767. The next prime is 101021187645769. The reversal of 101021187645768 is 867546781120101.

It is an interprime number because it is at equal distance from previous prime (101021187645767) and next prime (101021187645769).

It is a super-2 number, since 2×101021187645768² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101021187645767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38038530 + ... + 40607537.

It is an arithmetic number, because the mean of its divisors is an integer number (2229616027800).

Almost surely, 2^{101021187645768} is an apocalyptic number.

It is an amenable number.

101021187645768 is an abundant number, since it is smaller than the sum of its proper divisors (184369663912632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101021187645768 is a wasteful number, since it uses less digits than its factorization.

101021187645768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78646291 (or 78646287 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 57.

The spelling of 101021187645768 in words is "one hundred one trillion, twenty-one billion, one hundred eighty-seven million, six hundred forty-five thousand, seven hundred sixty-eight".