1022100101200 has 60 divisors (see below), whose sum is σ = 2483186540220. Its totient is φ = 404246318080.

The previous prime is 1022100101147. The next prime is 1022100101221. The reversal of 1022100101200 is 21010012201.

It can be written as a sum of positive squares in 6 ways, for example, as 311444357184 + 710655744016 = 558072^2 + 843004^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14319739 + ... + 14390938.

It is an arithmetic number, because the mean of its divisors is an integer number (41386442337).

Almost surely, 2^{1022100101200} is an apocalyptic number.

1022100101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022100101200 is an abundant number, since it is smaller than the sum of its proper divisors (1461086439020).

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

1022100101200 is a wasteful number, since it uses less digits than its factorization.

1022100101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28710784 (or 28710773 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1022100101200 its reverse (21010012201), we get a palindrome (1043110113401).

The spelling of 1022100101200 in words is "one trillion, twenty-two billion, one hundred million, one hundred one thousand, two hundred".