101200212120 has 128 divisors (see below), whose sum is σ = 349468761600. Its totient is φ = 22965037056.

The previous prime is 101200212119. The next prime is 101200212133. The reversal of 101200212120 is 21212002101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101200212096 and 101200212105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 316609 + ... + 550128.

It is an arithmetic number, because the mean of its divisors is an integer number (2730224700).

Almost surely, 2^101200212120 is an apocalyptic number.

101200212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200212120 is an abundant number, since it is smaller than the sum of its proper divisors (248268549480).

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

101200212120 is a wasteful number, since it uses less digits than its factorization.

101200212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866897 (or 866893 counting only the distinct ones).

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

Adding to 101200212120 its reverse (21212002101), we get a palindrome (122412214221).

The spelling of 101200212120 in words is "one hundred one billion, two hundred million, two hundred twelve thousand, one hundred twenty".