10022221101100 has 72 divisors (see below), whose sum is σ = 23992407700128. Its totient is φ = 3610255987200.

The previous prime is 10022221101091. The next prime is 10022221101103. The reversal of 10022221101100 is 110112222001.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (10022221101103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93963784 + ... + 94070383.

It is an arithmetic number, because the mean of its divisors is an integer number (333227884724).

Almost surely, 2^{10022221101100} is an apocalyptic number.

10022221101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022221101100 is an abundant number, since it is smaller than the sum of its proper divisors (13970186599028).

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

10022221101100 is a wasteful number, since it uses less digits than its factorization.

10022221101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188034235 (or 188034228 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10022221101100 its reverse (110112222001), we get a palindrome (10132333323101).

It can be divided in two parts, 10022 and 221101100, that added together give a palindrome (221111122).

The spelling of 10022221101100 in words is "ten trillion, twenty-two billion, two hundred twenty-one million, one hundred one thousand, one hundred".