1022100010000 has 200 divisors, whose sum is σ = 2656096420824. Its totient is φ = 379514880000.

The previous prime is 1022100009977. The next prime is 1022100010003. The reversal of 1022100010000 is 100012201.

It can be written as a sum of positive squares in 20 ways, for example, as 916438606864 + 105661403136 = 957308^2 + 325056^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is not an unprimeable number, because it can be changed into a prime (1022100010003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12368820 + ... + 12451180.

Almost surely, 2^{1022100010000} is an apocalyptic number.

1022100010000 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 1022100010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328048210412).

1022100010000 is an abundant number, since it is smaller than the sum of its proper divisors (1633996410824).

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

1022100010000 is an equidigital number, since it uses as much as digits as its factorization.

1022100010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82479 (or 82458 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1022100010000 its reverse (100012201), we get a palindrome (1022200022201).

The spelling of 1022100010000 in words is "one trillion, twenty-two billion, one hundred million, ten thousand".