101200000012120 has 16 divisors (see below), whose sum is σ = 227700000027360. Its totient is φ = 40480000004832.

The previous prime is 101200000012079. The next prime is 101200000012123. The reversal of 101200000012120 is 21210000002101.

It is a super-3 number, since 3×101200000012120³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101200000012097 and 101200000012106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200000012123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1265000000112 + ... + 1265000000191.

It is an arithmetic number, because the mean of its divisors is an integer number (14231250001710).

Almost surely, 2^{101200000012120} is an apocalyptic number.

101200000012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200000012120 is an abundant number, since it is smaller than the sum of its proper divisors (126500000015240).

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

101200000012120 is a wasteful number, since it uses less digits than its factorization.

101200000012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2530000000314 (or 2530000000310 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101200000012120 its reverse (21210000002101), we get a palindrome (122410000014221).

The spelling of 101200000012120 in words is "one hundred one trillion, two hundred billion, twelve thousand, one hundred twenty".