102477133363801 has 27 divisors (see below), whose sum is σ = 119505336141117. Its totient is φ = 87619066160640.

The previous prime is 102477133363783. The next prime is 102477133363819. The reversal of 102477133363801 is 108363331774201.

The square root of 102477133363801 is 10123099.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (102477133363783) and next prime (102477133363819).

It can be written as a sum of positive squares in 4 ways, for example, as 29481913575625 + 72995219788176 = 5429725^2 + 8543724^2 .

It is not a de Polignac number, because 102477133363801 - 2¹⁵ = 102477133331033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102477133363861) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32667238905 + ... + 32667242041.

Almost surely, 2^{102477133363801} is an apocalyptic number.

102477133363801 is the 10123099-th square number.

102477133363801 is the 5061550-th centered octagonal number.

It is an amenable number.

102477133363801 is a deficient number, since it is larger than the sum of its proper divisors (17028202777316).

102477133363801 is an frugal number, since it uses more digits than its factorization.

102477133363801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7210 (or 3605 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 49.

102477133363801 divided by its sum of digits (49) gives a square (2091370068649 = 1446157²).

The spelling of 102477133363801 in words is "one hundred two trillion, four hundred seventy-seven billion, one hundred thirty-three million, three hundred sixty-three thousand, eight hundred one".