102241776035742 has 64 divisors (see below), whose sum is σ = 234532360341504. Its totient is φ = 29107331608320.

The previous prime is 102241776035687. The next prime is 102241776035743. The reversal of 102241776035742 is 247530677142201.

It is a happy number.

It is a super-2 number, since 2×102241776035742² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102241776035743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 843817828 + ... + 843938984.

It is an arithmetic number, because the mean of its divisors is an integer number (3664568130336).

Almost surely, 2^{102241776035742} is an apocalyptic number.

102241776035742 is an abundant number, since it is smaller than the sum of its proper divisors (132290584305762).

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

102241776035742 is a wasteful number, since it uses less digits than its factorization.

102241776035742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192953.

The product of its (nonzero) digits is 3951360, while the sum is 51.

The spelling of 102241776035742 in words is "one hundred two trillion, two hundred forty-one billion, seven hundred seventy-six million, thirty-five thousand, seven hundred forty-two".