10001100202011 has 32 divisors (see below), whose sum is σ = 15689104116480. Its totient is φ = 6274758607488.

The previous prime is 10001100201997. The next prime is 10001100202013. The reversal of 10001100202011 is 11020200110001.

It is a happy number.

It is not a de Polignac number, because 10001100202011 - 2²⁷ = 10000965984283 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10001100201984 and 10001100202002.

It is not an unprimeable number, because it can be changed into a prime (10001100202013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5825920 + ... + 7344626.

It is an arithmetic number, because the mean of its divisors is an integer number (490284503640).

Almost surely, 2^{10001100202011} is an apocalyptic number.

10001100202011 is a deficient number, since it is larger than the sum of its proper divisors (5688003914469).

10001100202011 is a wasteful number, since it uses less digits than its factorization.

10001100202011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533080 (or 1533074 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10001100202011 its reverse (11020200110001), we get a palindrome (21021300312012).

The spelling of 10001100202011 in words is "ten trillion, one billion, one hundred million, two hundred two thousand, eleven".