10011200102122 has 32 divisors (see below), whose sum is σ = 15152083675344. Its totient is φ = 4960682688000.

The previous prime is 10011200102107. The next prime is 10011200102131. The reversal of 10011200102122 is 22120100211001.

10011200102122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3699694524681 + 6311505577441 = 1923459^2 + 2512271^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346381872 + ... + 346410772.

Almost surely, 2^{10011200102122} is an apocalyptic number.

10011200102122 is a deficient number, since it is larger than the sum of its proper divisors (5140883573222).

10011200102122 is a wasteful number, since it uses less digits than its factorization.

10011200102122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31914.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10011200102122 its reverse (22120100211001), we get a palindrome (32131300313123).

The spelling of 10011200102122 in words is "ten trillion, eleven billion, two hundred million, one hundred two thousand, one hundred twenty-two".