101200120200120 has 384 divisors, whose sum is σ = 313160385263040. Its totient is φ = 26158834483200.

The previous prime is 101200120200107. The next prime is 101200120200133. The reversal of 101200120200120 is 21002021002101.

It is an interprime number because it is at equal distance from previous prime (101200120200107) and next prime (101200120200133).

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 = 101200120200096 and 101200120200105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8848479042 + ... + 8848490478.

Almost surely, 2^{101200120200120} is an apocalyptic number.

101200120200120 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 101200120200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156580192631520).

101200120200120 is an abundant number, since it is smaller than the sum of its proper divisors (211960265062920).

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

101200120200120 is a wasteful number, since it uses less digits than its factorization.

101200120200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11835 (or 11758 counting only the distinct ones).

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

Adding to 101200120200120 its reverse (21002021002101), we get a palindrome (122202141202221).

The spelling of 101200120200120 in words is "one hundred one trillion, two hundred billion, one hundred twenty million, two hundred thousand, one hundred twenty".