101201120200 has 48 divisors (see below), whose sum is σ = 243406156500. Its totient is φ = 39084568320.

The previous prime is 101201120197. The next prime is 101201120213. The reversal of 101201120200 is 2021102101.

It can be written as a sum of positive squares in 6 ways, for example, as 8920046916 + 92281073284 = 94446^2 + 303778^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 8718435 + ... + 8730034.

Almost surely, 2^101201120200 is an apocalyptic number.

101201120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101201120200 is an abundant number, since it is smaller than the sum of its proper divisors (142205036300).

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

101201120200 is a wasteful number, since it uses less digits than its factorization.

101201120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17448514 (or 17448505 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101201120200 its reverse (2021102101), we get a palindrome (103222222301).

The spelling of 101201120200 in words is "one hundred one billion, two hundred one million, one hundred twenty thousand, two hundred".