101201201002100 has 36 divisors (see below), whose sum is σ = 219930988310124. Its totient is φ = 40420686458880.

The previous prime is 101201201002081. The next prime is 101201201002123. The reversal of 101201201002100 is 1200102102101.

It can be written as a sum of positive squares in 6 ways, for example, as 681688014736 + 100519512987364 = 825644^2 + 10025942^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 747356237 + ... + 747491636.

Almost surely, 2^{101201201002100} is an apocalyptic number.

101201201002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101201201002100 is an abundant number, since it is smaller than the sum of its proper divisors (118729787308024).

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

101201201002100 is a wasteful number, since it uses less digits than its factorization.

101201201002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494848564 (or 1494848557 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101201201002100 its reverse (1200102102101), we get a palindrome (102401303104201).

The spelling of 101201201002100 in words is "one hundred one trillion, two hundred one billion, two hundred one million, two thousand, one hundred".