101200210220200 has 192 divisors, whose sum is σ = 291364917701760. Its totient is φ = 31831705451520.

The previous prime is 101200210220117. The next prime is 101200210220201. The reversal of 101200210220200 is 2022012002101.

It is a happy number.

It is a super-2 number, since 2×101200210220200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (101200210220201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14089999 + ... + 20023198.

It is an arithmetic number, because the mean of its divisors is an integer number (1517525613030).

Almost surely, 2^{101200210220200} is an apocalyptic number.

101200210220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200210220200 is an abundant number, since it is smaller than the sum of its proper divisors (190164707481560).

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

101200210220200 is a wasteful number, since it uses less digits than its factorization.

101200210220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34113396 (or 34113387 counting only the distinct ones).

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

Adding to 101200210220200 its reverse (2022012002101), we get a palindrome (103222222222301).

The spelling of 101200210220200 in words is "one hundred one trillion, two hundred billion, two hundred ten million, two hundred twenty thousand, two hundred".