101001222100 has 36 divisors (see below), whose sum is σ = 221342700348. Its totient is φ = 40000480000.

The previous prime is 101001222097. The next prime is 101001222121. The reversal of 101001222100 is 1222100101.

It can be written as a sum of positive squares in 6 ways, for example, as 1793861316 + 99207360784 = 42354^2 + 314972^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

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, 4989961 + ... + 5010160.

It is an arithmetic number, because the mean of its divisors is an integer number (6148408343).

Almost surely, 2^101001222100 is an apocalyptic number.

101001222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001222100 is an abundant number, since it is smaller than the sum of its proper divisors (120341478248).

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

101001222100 is a wasteful number, since it uses less digits than its factorization.

101001222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10000236 (or 10000229 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101001222100 its reverse (1222100101), we get a palindrome (102223322201).

It can be divided in two parts, 10100 and 1222100, that multiplied together give a square (12343210000 = 111100²).

The spelling of 101001222100 in words is "one hundred one billion, one million, two hundred twenty-two thousand, one hundred".