101000202020100 has 216 divisors, whose sum is σ = 327651373969920. Its totient is φ = 25992316896000.

The previous prime is 101000202020089. The next prime is 101000202020141. The reversal of 101000202020100 is 1020202000101.

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 71 ways as a sum of consecutive naturals, for example, 54180535 + ... + 56013665.

It is an arithmetic number, because the mean of its divisors is an integer number (1516904509120).

Almost surely, 2^{101000202020100} is an apocalyptic number.

101000202020100 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 101000202020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163825686984960).

101000202020100 is an abundant number, since it is smaller than the sum of its proper divisors (226651171949820).

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

101000202020100 is a wasteful number, since it uses less digits than its factorization.

101000202020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835291 (or 1835281 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101000202020100 its reverse (1020202000101), we get a palindrome (102020404020201).

The spelling of 101000202020100 in words is "one hundred one trillion, two hundred two million, twenty thousand, one hundred".