101101211010200 has 96 divisors (see below), whose sum is σ = 236840674820400. Its totient is φ = 40134405488640.

The previous prime is 101101211010199. The next prime is 101101211010271. The reversal of 101101211010200 is 2010112101101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73180232 + ... + 74548968.

Almost surely, 2^{101101211010200} is an apocalyptic number.

101101211010200 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 101101211010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118420337410200).

101101211010200 is an abundant number, since it is smaller than the sum of its proper divisors (135739463810200).

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

101101211010200 is a wasteful number, since it uses less digits than its factorization.

101101211010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371549 (or 1371540 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101101211010200 its reverse (2010112101101), we get a palindrome (103111323111301).

The spelling of 101101211010200 in words is "one hundred one trillion, one hundred one billion, two hundred eleven million, ten thousand, two hundred".