101200101102220 has 96 divisors (see below), whose sum is σ = 225917923960512. Its totient is φ = 37947096956928.

The previous prime is 101200101102197. The next prime is 101200101102223. The reversal of 101200101102220 is 22201101002101.

It is a super-3 number, since 3×101200101102220³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101200101102220.

It is not an unprimeable number, because it can be changed into a prime (101200101102223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1062231027 + ... + 1062326293.

It is an arithmetic number, because the mean of its divisors is an integer number (2353311707922).

Almost surely, 2^{101200101102220} is an apocalyptic number.

101200101102220 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 101200101102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112958961980256).

101200101102220 is an abundant number, since it is smaller than the sum of its proper divisors (124717822858292).

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

101200101102220 is a wasteful number, since it uses less digits than its factorization.

101200101102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107707 (or 107705 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101200101102220 its reverse (22201101002101), we get a palindrome (123401202104321).

The spelling of 101200101102220 in words is "one hundred one trillion, two hundred billion, one hundred one million, one hundred two thousand, two hundred twenty".