10100100021011 has 64 divisors (see below), whose sum is σ = 13716530150400. Its totient is φ = 7181511321600.

The previous prime is 10100100020977. The next prime is 10100100021017. The reversal of 10100100021011 is 11012000100101.

It is a happy number.

It is not a de Polignac number, because 10100100021011 - 2¹⁴ = 10100100004627 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10100100021011.

It is not an unprimeable number, because it can be changed into a prime (10100100021017) 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, 482762831 + ... + 482783751.

It is an arithmetic number, because the mean of its divisors is an integer number (214320783600).

Almost surely, 2^{10100100021011} is an apocalyptic number.

10100100021011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10100100021011 is a deficient number, since it is larger than the sum of its proper divisors (3616430129389).

10100100021011 is a wasteful number, since it uses less digits than its factorization.

10100100021011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26460.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10100100021011 its reverse (11012000100101), we get a palindrome (21112100121112).

The spelling of 10100100021011 in words is "ten trillion, one hundred billion, one hundred million, twenty-one thousand, eleven".