101100222222100 has 18 divisors (see below), whose sum is σ = 219387482222174. Its totient is φ = 40440088888800.

The previous prime is 101100222222047. The next prime is 101100222222121. The reversal of 101100222222100 is 1222222001101.

It is a happy number.

101100222222100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 36361816565776 + 64738405656324 = 6030076^2 + 8046018^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505501111011 + ... + 505501111210.

Almost surely, 2^{101100222222100} is an apocalyptic number.

101100222222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100222222100 is an abundant number, since it is smaller than the sum of its proper divisors (118287260000074).

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

101100222222100 is a wasteful number, since it uses less digits than its factorization.

101100222222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011002222235 (or 1011002222228 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101100222222100 its reverse (1222222001101), we get a palindrome (102322444223201).

The spelling of 101100222222100 in words is "one hundred one trillion, one hundred billion, two hundred twenty-two million, two hundred twenty-two thousand, one hundred".