10120122100011 has 64 divisors (see below), whose sum is σ = 17021633642496. Its totient is φ = 5195516073600.

The previous prime is 10120122099961. The next prime is 10120122100037. The reversal of 10120122100011 is 11000122102101.

It is not a de Polignac number, because 10120122100011 - 2³⁷ = 9982683146539 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10120122100011.

It is not an unprimeable number, because it can be changed into a prime (10120122100061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5915626 + ... + 7432016.

It is an arithmetic number, because the mean of its divisors is an integer number (265963025664).

Almost surely, 2^{10120122100011} is an apocalyptic number.

10120122100011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10120122100011 is a deficient number, since it is larger than the sum of its proper divisors (6901511542485).

10120122100011 is a wasteful number, since it uses less digits than its factorization.

10120122100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516752.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10120122100011 its reverse (11000122102101), we get a palindrome (21120244202112).

The spelling of 10120122100011 in words is "ten trillion, one hundred twenty billion, one hundred twenty-two million, one hundred thousand, eleven".