11121022101024 has 144 divisors (see below), whose sum is σ = 34610671708704. Its totient is φ = 3359239603200.

The previous prime is 11121022101023. The next prime is 11121022101073. The reversal of 11121022101024 is 42010122012111.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11121022100988 and 11121022101006.

It is not an unprimeable number, because it can be changed into a prime (11121022101023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4616122 + ... + 6599289.

It is an arithmetic number, because the mean of its divisors is an integer number (240351886866).

Almost surely, 2^{11121022101024} is an apocalyptic number.

It is an amenable number.

11121022101024 is an abundant number, since it is smaller than the sum of its proper divisors (23489649607680).

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

11121022101024 is a wasteful number, since it uses less digits than its factorization.

11121022101024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11215751 (or 11215740 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11121022101024 its reverse (42010122012111), we get a palindrome (53131144113135).

The spelling of 11121022101024 in words is "eleven trillion, one hundred twenty-one billion, twenty-two million, one hundred one thousand, twenty-four".