10100202102011 has 16 divisors (see below), whose sum is σ = 11814614913024. Its totient is φ = 8453776089024.

The previous prime is 10100202101923. The next prime is 10100202102019. The reversal of 10100202102011 is 11020120200101.

It is not a de Polignac number, because 10100202102011 - 2¹⁴ = 10100202085627 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100202101983 and 10100202102001.

It is not an unprimeable number, because it can be changed into a prime (10100202102019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3223451 + ... + 5530916.

It is an arithmetic number, because the mean of its divisors is an integer number (738413432064).

Almost surely, 2^{10100202102011} is an apocalyptic number.

10100202102011 is a deficient number, since it is larger than the sum of its proper divisors (1714412811013).

10100202102011 is an equidigital number, since it uses as much as digits as its factorization.

10100202102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8758250.

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

Adding to 10100202102011 its reverse (11020120200101), we get a palindrome (21120322302112).

The spelling of 10100202102011 in words is "ten trillion, one hundred billion, two hundred two million, one hundred two thousand, eleven".