101122220020100 has 18 divisors (see below), whose sum is σ = 219435217443834. Its totient is φ = 40448888008000.

The previous prime is 101122220020091. The next prime is 101122220020121. The reversal of 101122220020100 is 1020022221101.

It can be written as a sum of positive squares in 3 ways, for example, as 352263616324 + 100769956403776 = 593518^2 + 10038424^2 .

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, 505611100001 + ... + 505611100200.

Almost surely, 2^{101122220020100} is an apocalyptic number.

101122220020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122220020100 is an abundant number, since it is smaller than the sum of its proper divisors (118312997423734).

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

101122220020100 is a wasteful number, since it uses less digits than its factorization.

101122220020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011222200215 (or 1011222200208 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101122220020100 its reverse (1020022221101), we get a palindrome (102142242241201).

The spelling of 101122220020100 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred twenty million, twenty thousand, one hundred".