102201993 has 20 divisors (see below), whose sum is σ = 154398420. Its totient is φ = 67364352.

The previous prime is 102201991. The next prime is 102202021. The reversal of 102201993 is 399102201.

It can be written as a sum of positive squares in 2 ways, for example, as 70358544 + 31843449 = 8388^2 + 5643^2 .

It is not a de Polignac number, because 102201993 - 2¹ = 102201991 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201991) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 121 + ... + 14297.

It is an arithmetic number, because the mean of its divisors is an integer number (7719921).

Almost surely, 2^102201993 is an apocalyptic number.

It is an amenable number.

102201993 is a deficient number, since it is larger than the sum of its proper divisors (52196427).

102201993 is an equidigital number, since it uses as much as digits as its factorization.

102201993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14278 (or 14269 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 102201993 is about 10109.5001360107. The cubic root of 102201993 is about 467.5410935500.

The spelling of 102201993 in words is "one hundred two million, two hundred one thousand, nine hundred ninety-three".