1022141220100 has 729 divisors, whose sum is σ = 3101708784573. Its totient is φ = 291170880000.

The previous prime is 1022141220083. The next prime is 1022141220127. The reversal of 1022141220100 is 10221412201.

The square root of 1022141220100 is 1011010.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 456432657604 + 565708562496 = 675598^2 + 752136^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 10120210050 + ... + 10120210150.

Almost surely, 2^{1022141220100} is an apocalyptic number.

1022141220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1022141220100 is the 1011010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022141220100

1022141220100 is an abundant number, since it is smaller than the sum of its proper divisors (2079567564473).

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

1022141220100 is a wasteful number, since it uses less digits than its factorization.

1022141220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Multiplying 1022141220100 by its sum of digits (16), we get a square (16354259521600 = 4044040²).

Multiplying 1022141220100 by its product of nonzero digits (64), we get a square (65417038086400 = 8088080²).

Adding to 1022141220100 its reverse (10221412201), we get a palindrome (1032362632301).

1022141220100 divided by its reverse (10221412201) gives a square (100 = 10²).

The spelling of 1022141220100 in words is "one trillion, twenty-two billion, one hundred forty-one million, two hundred twenty thousand, one hundred".