102015202255520 has 96 divisors (see below), whose sum is σ = 241203051709200. Its totient is φ = 40773561753600.

The previous prime is 102015202255513. The next prime is 102015202255537. The reversal of 102015202255520 is 25552202510201.

It can be written as a sum of positive squares in 8 ways, for example, as 61061909180944 + 40953293074576 = 7814212^2 + 6399476^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1171884956 + ... + 1171972004.

Almost surely, 2^{102015202255520} is an apocalyptic number.

102015202255520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102015202255520 is an abundant number, since it is smaller than the sum of its proper divisors (139187849453680).

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

102015202255520 is a wasteful number, since it uses less digits than its factorization.

102015202255520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92818 (or 92810 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 32.

Adding to 102015202255520 its reverse (25552202510201), we get a palindrome (127567404765721).

The spelling of 102015202255520 in words is "one hundred two trillion, fifteen billion, two hundred two million, two hundred fifty-five thousand, five hundred twenty".