10100011101122 has 48 divisors (see below), whose sum is σ = 16943228665440. Its totient is φ = 4502105597952.

The previous prime is 10100011101121. The next prime is 10100011101209. The reversal of 10100011101122 is 22110111000101.

It is not an unprimeable number, because it can be changed into a prime (10100011101121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75786098 + ... + 75919250.

It is an arithmetic number, because the mean of its divisors is an integer number (352983930530).

Almost surely, 2^{10100011101122} is an apocalyptic number.

10100011101122 is a deficient number, since it is larger than the sum of its proper divisors (6843217564318).

10100011101122 is a wasteful number, since it uses less digits than its factorization.

10100011101122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140115 (or 140098 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10100011101122 its reverse (22110111000101), we get a palindrome (32210122101223).

The spelling of 10100011101122 in words is "ten trillion, one hundred billion, eleven million, one hundred one thousand, one hundred twenty-two".