102142777700500 has 24 divisors (see below), whose sum is σ = 223079826498984. Its totient is φ = 40857111080000.

The previous prime is 102142777700449. The next prime is 102142777700543. The reversal of 102142777700500 is 5007777241201.

It can be written as a sum of positive squares in 4 ways, for example, as 10735334296324 + 91407443404176 = 3276482^2 + 9560724^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102142777201 + ... + 102142778200.

It is an arithmetic number, because the mean of its divisors is an integer number (9294992770791).

Almost surely, 2^{102142777700500} is an apocalyptic number.

102142777700500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102142777700500 is an abundant number, since it is smaller than the sum of its proper divisors (120937048798484).

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

102142777700500 is a wasteful number, since it uses less digits than its factorization.

102142777700500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204285555420 (or 204285555408 counting only the distinct ones).

The product of its (nonzero) digits is 192080, while the sum is 43.

The spelling of 102142777700500 in words is "one hundred two trillion, one hundred forty-two billion, seven hundred seventy-seven million, seven hundred thousand, five hundred".