101122202120100 has 288 divisors, whose sum is σ = 346037155537920. Its totient is φ = 22308270082560.

The previous prime is 101122202120011. The next prime is 101122202120111. The reversal of 101122202120100 is 1021202221101.

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 101122202120100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 163085259 + ... + 163704141.

Almost surely, 2^{101122202120100} is an apocalyptic number.

101122202120100 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 101122202120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173018577768960).

101122202120100 is an abundant number, since it is smaller than the sum of its proper divisors (244914953417820).

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

101122202120100 is a wasteful number, since it uses less digits than its factorization.

101122202120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621619 (or 621612 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101122202120100 its reverse (1021202221101), we get a palindrome (102143404341201).

The spelling of 101122202120100 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred two million, one hundred twenty thousand, one hundred".