1021322222100 has 216 divisors, whose sum is σ = 3367993502328. Its totient is φ = 258528153600.

The previous prime is 1021322222093. The next prime is 1021322222119. The reversal of 1021322222100 is 12222231201.

1021322222100 is a `hidden beast` number, since 1 + 0 + 21 + 322 + 222 + 100 = 666.

1021322222100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 167302268676 + 854019953424 = 409026^2 + 924132^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 991272 + ... + 1739328.

Almost surely, 2^{1021322222100} is an apocalyptic number.

1021322222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021322222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683996751164).

1021322222100 is an abundant number, since it is smaller than the sum of its proper divisors (2346671280228).

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

1021322222100 is a wasteful number, since it uses less digits than its factorization.

1021322222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748155 (or 748145 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1021322222100 its reverse (12222231201), we get a palindrome (1033544453301).

It can be divided in two parts, 102132 and 2222100, that added together give a palindrome (2324232).

The spelling of 1021322222100 in words is "one trillion, twenty-one billion, three hundred twenty-two million, two hundred twenty-two thousand, one hundred".