10022110022100 has 288 divisors, whose sum is σ = 31960372655232. Its totient is φ = 2404512000000.

The previous prime is 10022110022081. The next prime is 10022110022129. The reversal of 10022110022100 is 122001122001.

10022110022100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1012227150 + ... + 1012237050.

It is an arithmetic number, because the mean of its divisors is an integer number (110973516164).

Almost surely, 2^{10022110022100} is an apocalyptic number.

10022110022100 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 10022110022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15980186327616).

10022110022100 is an abundant number, since it is smaller than the sum of its proper divisors (21938262633132).

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

10022110022100 is a wasteful number, since it uses less digits than its factorization.

10022110022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13067 (or 13060 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10022110022100 its reverse (122001122001), we get a palindrome (10144111144101).

It can be divided in two parts, 100221 and 10022100, that multiplied together give a square (1004424884100 = 1002210²).

The spelling of 10022110022100 in words is "ten trillion, twenty-two billion, one hundred ten million, twenty-two thousand, one hundred".