10022111201100 has 144 divisors (see below), whose sum is σ = 31348442182400. Its totient is φ = 2463471947520.

The previous prime is 10022111201083. The next prime is 10022111201101. The reversal of 10022111201100 is 110211122001.

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

It is not an unprimeable number, because it can be changed into a prime (10022111201101) 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, 23549440 + ... + 23971239.

Almost surely, 2^{10022111201100} is an apocalyptic number.

10022111201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022111201100 is an abundant number, since it is smaller than the sum of its proper divisors (21326330981300).

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

10022111201100 is a wasteful number, since it uses less digits than its factorization.

10022111201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47520752 (or 47520745 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10022111201100 its reverse (110211122001), we get a palindrome (10132322323101).

The spelling of 10022111201100 in words is "ten trillion, twenty-two billion, one hundred eleven million, two hundred one thousand, one hundred".