11021210212128 has 48 divisors (see below), whose sum is σ = 29404950212736. Its totient is φ = 3613511543040.

The previous prime is 11021210212127. The next prime is 11021210212153. The reversal of 11021210212128 is 82121201212011.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11021210212098 and 11021210212107.

It is not an unprimeable number, because it can be changed into a prime (11021210212121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 941012776 + ... + 941024487.

It is an arithmetic number, because the mean of its divisors is an integer number (612603129432).

Almost surely, 2^{11021210212128} is an apocalyptic number.

It is an amenable number.

11021210212128 is an abundant number, since it is smaller than the sum of its proper divisors (18383740000608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11021210212128 is a wasteful number, since it uses less digits than its factorization.

11021210212128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882037337 (or 1882037329 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 24.

Adding to 11021210212128 its reverse (82121201212011), we get a palindrome (93142411424139).

The spelling of 11021210212128 in words is "eleven trillion, twenty-one billion, two hundred ten million, two hundred twelve thousand, one hundred twenty-eight".