101201200100100 has 180 divisors, whose sum is σ = 328833547473508. Its totient is φ = 26922883680000.

The previous prime is 101201200100069. The next prime is 101201200100159. The reversal of 101201200100100 is 1001002102101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 28906279119936 + 72294920980164 = 5376456^2 + 8502642^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11428351 + ... + 18248550.

Almost surely, 2^{101201200100100} is an apocalyptic number.

101201200100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101201200100100 is an abundant number, since it is smaller than the sum of its proper divisors (227632347373408).

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

101201200100100 is a wasteful number, since it uses less digits than its factorization.

101201200100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29677348 (or 29677332 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101201200100100 its reverse (1001002102101), we get a palindrome (102202202202201).

The spelling of 101201200100100 in words is "one hundred one trillion, two hundred one billion, two hundred million, one hundred thousand, one hundred".