101200210012200 has 96 divisors (see below), whose sum is σ = 337853008836000. Its totient is φ = 24910820924160.

The previous prime is 101200210012129. The next prime is 101200210012201. The reversal of 101200210012200 is 2210012002101.

It is a super-3 number, since 3×101200210012200³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101200210012201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6487185150 + ... + 6487200749.

It is an arithmetic number, because the mean of its divisors is an integer number (3519302175375).

Almost surely, 2^{101200210012200} is an apocalyptic number.

101200210012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200210012200 is an abundant number, since it is smaller than the sum of its proper divisors (236652798823800).

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

101200210012200 is a wasteful number, since it uses less digits than its factorization.

101200210012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12974385931 (or 12974385922 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101200210012200 its reverse (2210012002101), we get a palindrome (103410222014301).

The spelling of 101200210012200 in words is "one hundred one trillion, two hundred billion, two hundred ten million, twelve thousand, two hundred".