20100210102011 has 8 divisors (see below), whose sum is σ = 21775999154784. Its totient is φ = 18442938055680.

The previous prime is 20100210101977. The next prime is 20100210102041. The reversal of 20100210102011 is 11020101200102.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20100210102011 is a prime.

It is a super-2 number, since 2×20100210102011² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20100210101983 and 20100210102001.

It is not an unprimeable number, because it can be changed into a prime (20100210102041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4629249350 + ... + 4629253691.

It is an arithmetic number, because the mean of its divisors is an integer number (2721999894348).

Almost surely, 2^{20100210102011} is an apocalyptic number.

20100210102011 is a deficient number, since it is larger than the sum of its proper divisors (1675789052773).

20100210102011 is a wasteful number, since it uses less digits than its factorization.

20100210102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9258503221.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 20100210102011 its reverse (11020101200102), we get a palindrome (31120311302113).

The spelling of 20100210102011 in words is "twenty trillion, one hundred billion, two hundred ten million, one hundred two thousand, eleven".