101220000100 has 36 divisors (see below), whose sum is σ = 219862751668. Its totient is φ = 40448304000.

The previous prime is 101220000031. The next prime is 101220000107. The reversal of 101220000100 is 1000022101.

It can be written as a sum of positive squares in 6 ways, for example, as 385808164 + 100834191936 = 19642^2 + 317544^2 .

It is not an unprimeable number, because it can be changed into a prime (101220000107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 393591 + ... + 597790.

Almost surely, 2^101220000100 is an apocalyptic number.

101220000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101220000100 is an abundant number, since it is smaller than the sum of its proper divisors (118642751568).

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

101220000100 is a wasteful number, since it uses less digits than its factorization.

101220000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992416 (or 992409 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 101220000100 its reverse (1000022101), we get a palindrome (102220022201).

The spelling of 101220000100 in words is "one hundred one billion, two hundred twenty million, one hundred", and thus it is an aban number.