102202021122093 has 8 divisors (see below), whose sum is σ = 151410401662400. Its totient is φ = 68134680748044.

The previous prime is 102202021122053. The next prime is 102202021122121. The reversal of 102202021122093 is 390221120202201.

102202021122093 is a `hidden beast` number, since 1 + 0 + 220 + 2 + 0 + 211 + 220 + 9 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-102202021122093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3785260041559 = 102202021122093 / (1 + 0 + 2 + 2 + 0 + 2 + 0 + 2 + 1 + 1 + 2 + 2 + 0 + 9 + 3).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202021122053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1892630020753 + ... + 1892630020806.

It is an arithmetic number, because the mean of its divisors is an integer number (18926300207800).

Almost surely, 2^{102202021122093} is an apocalyptic number.

It is an amenable number.

102202021122093 is a deficient number, since it is larger than the sum of its proper divisors (49208380540307).

102202021122093 is an equidigital number, since it uses as much as digits as its factorization.

102202021122093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3785260041568 (or 3785260041562 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 102202021122093 its reverse (390221120202201), we get a palindrome (492423141324294).

The spelling of 102202021122093 in words is "one hundred two trillion, two hundred two billion, twenty-one million, one hundred twenty-two thousand, ninety-three".