10200022000311 has 64 divisors (see below), whose sum is σ = 16226281290240. Its totient is φ = 5617618237440.

The previous prime is 10200022000309. The next prime is 10200022000319. The reversal of 10200022000311 is 11300022000201.

It is not a de Polignac number, because 10200022000311 - 2¹ = 10200022000309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200022000319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46137211 + ... + 46357763.

It is an arithmetic number, because the mean of its divisors is an integer number (253535645160).

Almost surely, 2^{10200022000311} is an apocalyptic number.

10200022000311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10200022000311 is a deficient number, since it is larger than the sum of its proper divisors (6026259289929).

10200022000311 is a wasteful number, since it uses less digits than its factorization.

10200022000311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222256.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10200022000311 its reverse (11300022000201), we get a palindrome (21500044000512).

The spelling of 10200022000311 in words is "ten trillion, two hundred billion, twenty-two million, three hundred eleven", and thus it is an aban number.