1021022101344 has 96 divisors (see below), whose sum is σ = 3105026265600. Its totient is φ = 287724413952.

The previous prime is 1021022101283. The next prime is 1021022101369. The reversal of 1021022101344 is 4431012201201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1021022101344² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1021022101344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10357644 + ... + 10455755.

It is an arithmetic number, because the mean of its divisors is an integer number (32344023600).

Almost surely, 2^{1021022101344} is an apocalyptic number.

1021022101344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1021022101344 is an abundant number, since it is smaller than the sum of its proper divisors (2084004164256).

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

1021022101344 is a wasteful number, since it uses less digits than its factorization.

1021022101344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20813492 (or 20813484 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1021022101344 its reverse (4431012201201), we get a palindrome (5452034302545).

The spelling of 1021022101344 in words is "one trillion, twenty-one billion, twenty-two million, one hundred one thousand, three hundred forty-four".