100122200211011 has 24 divisors (see below), whose sum is σ = 116547771170880. Its totient is φ = 85649535361280.

The previous prime is 100122200210941. The next prime is 100122200211071. The reversal of 100122200211011 is 110112002221001.

It is a de Polignac number, because none of the positive numbers 2^k-100122200211011 is a prime.

It is a super-2 number, since 2×100122200211011² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100122200211071) 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, 5983670 + ... + 15363876.

It is an arithmetic number, because the mean of its divisors is an integer number (4856157132120).

Almost surely, 2^{100122200211011} is an apocalyptic number.

100122200211011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100122200211011 is a deficient number, since it is larger than the sum of its proper divisors (16425570959869).

100122200211011 is a wasteful number, since it uses less digits than its factorization.

100122200211011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9385435 (or 9385424 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100122200211011 its reverse (110112002221001), we get a palindrome (210234202432012).

The spelling of 100122200211011 in words is "one hundred trillion, one hundred twenty-two billion, two hundred million, two hundred eleven thousand, eleven".