101410400200 has 96 divisors (see below), whose sum is σ = 241546995360. Its totient is φ = 39574080000.

The previous prime is 101410400191. The next prime is 101410400213. The reversal of 101410400200 is 2004014101.

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, 7793700 + ... + 7806700.

It is an arithmetic number, because the mean of its divisors is an integer number (2516114535).

Almost surely, 2^101410400200 is an apocalyptic number.

101410400200 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 101410400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120773497680).

101410400200 is an abundant number, since it is smaller than the sum of its proper divisors (140136595160).

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

101410400200 is a wasteful number, since it uses less digits than its factorization.

101410400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13967 (or 13958 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 101410400200 its reverse (2004014101), we get a palindrome (103414414301).

The spelling of 101410400200 in words is "one hundred one billion, four hundred ten million, four hundred thousand, two hundred".