1001022100093 has 8 divisors (see below), whose sum is σ = 1025460608760. Its totient is φ = 976584702720.

The previous prime is 1001022100073. The next prime is 1001022100109. The reversal of 1001022100093 is 3900012201001.

It can be written as a sum of positive squares in 4 ways, for example, as 136945883844 + 864076216249 = 370062^2 + 929557^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001022100093 is a prime.

It is a super-2 number, since 2×1001022100093² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1001022100093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001022100073) 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, 1718721 + ... + 2226217.

It is an arithmetic number, because the mean of its divisors is an integer number (128182576095).

Almost surely, 2^{1001022100093} is an apocalyptic number.

It is an amenable number.

1001022100093 is a deficient number, since it is larger than the sum of its proper divisors (24438508667).

1001022100093 is an equidigital number, since it uses as much as digits as its factorization.

1001022100093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555647.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 1001022100093 its reverse (3900012201001), we get a palindrome (4901034301094).

The spelling of 1001022100093 in words is "one trillion, one billion, twenty-two million, one hundred thousand, ninety-three".