11012100101093 has 72 divisors (see below), whose sum is σ = 14613872265720. Its totient is φ = 8223566964480.

The previous prime is 11012100101087. The next prime is 11012100101113. The reversal of 11012100101093 is 39010100121011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 45624105604 + 10966475995489 = 213598^2 + 3311567^2 .

It is not a de Polignac number, because 11012100101093 - 2⁶ = 11012100101029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012100101993) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61769423 + ... + 61947443.

It is an arithmetic number, because the mean of its divisors is an integer number (202970448135).

Almost surely, 2^{11012100101093} is an apocalyptic number.

11012100101093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11012100101093 is a deficient number, since it is larger than the sum of its proper divisors (3601772164627).

11012100101093 is a wasteful number, since it uses less digits than its factorization.

11012100101093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178355 (or 178329 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 20.

The spelling of 11012100101093 in words is "eleven trillion, twelve billion, one hundred million, one hundred one thousand, ninety-three".