101212322100 has 144 divisors (see below), whose sum is σ = 295386052416. Its totient is φ = 26756352000.

The previous prime is 101212322087. The next prime is 101212322131. The reversal of 101212322100 is 1223212101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101212322100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18296335 + ... + 18301865.

Almost surely, 2^101212322100 is an apocalyptic number.

101212322100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101212322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147693026208).

101212322100 is an abundant number, since it is smaller than the sum of its proper divisors (194173730316).

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

101212322100 is a wasteful number, since it uses less digits than its factorization.

101212322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6066 (or 6059 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 101212322100 its reverse (1223212101), we get a palindrome (102435534201).

The spelling of 101212322100 in words is "one hundred one billion, two hundred twelve million, three hundred twenty-two thousand, one hundred".