1022022101100 has 864 divisors, whose sum is σ = 4254065222400. Its totient is φ = 185707468800.

The previous prime is 1022022101099. The next prime is 1022022101129. The reversal of 1022022101100 is 11012202201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 39927106 + ... + 39952694.

It is an arithmetic number, because the mean of its divisors is an integer number (4923686600).

Almost surely, 2^{1022022101100} is an apocalyptic number.

1022022101100 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 1022022101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127032611200).

1022022101100 is an abundant number, since it is smaller than the sum of its proper divisors (3232043121300).

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

1022022101100 is a wasteful number, since it uses less digits than its factorization.

1022022101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25663 (or 25649 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1022022101100 its reverse (11012202201), we get a palindrome (1033034303301).

The spelling of 1022022101100 in words is "one trillion, twenty-two billion, twenty-two million, one hundred one thousand, one hundred".