10222010001100 has 144 divisors (see below), whose sum is σ = 23542405189632. Its totient is φ = 3846139200000.

The previous prime is 10222010001067. The next prime is 10222010001109. The reversal of 10222010001100 is 110001022201.

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

It is not an unprimeable number, because it can be changed into a prime (10222010001109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34295715 + ... + 34592485.

It is an arithmetic number, because the mean of its divisors is an integer number (163488924928).

Almost surely, 2^{10222010001100} is an apocalyptic number.

10222010001100 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 10222010001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11771202594816).

10222010001100 is an abundant number, since it is smaller than the sum of its proper divisors (13320395188532).

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

10222010001100 is a wasteful number, since it uses less digits than its factorization.

10222010001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297128 (or 297121 counting only the distinct ones).

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

Adding to 10222010001100 its reverse (110001022201), we get a palindrome (10332011023301).

The spelling of 10222010001100 in words is "ten trillion, two hundred twenty-two billion, ten million, one thousand, one hundred".