10120101200000 has 576 divisors, whose sum is σ = 28906447993920. Its totient is φ = 3519648000000.

The previous prime is 10120101199981. The next prime is 10120101200089. The reversal of 10120101200000 is 210102101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1113195455 + ... + 1113204545.

It is an arithmetic number, because the mean of its divisors is an integer number (50184805545).

Almost surely, 2^{10120101200000} is an apocalyptic number.

10120101200000 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 10120101200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14453223996960).

10120101200000 is an abundant number, since it is smaller than the sum of its proper divisors (18786346793920).

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

10120101200000 is an frugal number, since it uses more digits than its factorization.

10120101200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9175 (or 9132 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10120101200000 its reverse (210102101), we get a palindrome (10120311302101).

It can be divided in two parts, 10120 and 101200000, that multiplied together give a square (1024144000000 = 1012000²).

The spelling of 10120101200000 in words is "ten trillion, one hundred twenty billion, one hundred one million, two hundred thousand".