1022122100 has 72 divisors (see below), whose sum is σ = 2373285600. Its totient is φ = 380937600.

The previous prime is 1022122099. The next prime is 1022122109. The reversal of 1022122100 is 12212201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022122109) 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, 111491 + ... + 120309.

It is an arithmetic number, because the mean of its divisors is an integer number (32962300).

Almost surely, 2^1022122100 is an apocalyptic number.

1022122100 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 1022122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186642800).

1022122100 is an abundant number, since it is smaller than the sum of its proper divisors (1351163500).

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

1022122100 is a wasteful number, since it uses less digits than its factorization.

1022122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8913 (or 8906 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1022122100 is about 31970.6443475886. The cubic root of 1022122100 is about 1007.3203155555.

Adding to 1022122100 its reverse (12212201), we get a palindrome (1034334301).

The spelling of 1022122100 in words is "one billion, twenty-two million, one hundred twenty-two thousand, one hundred".