1012101100120 has 128 divisors (see below), whose sum is σ = 2563265295360. Its totient is φ = 356492021760.

The previous prime is 1012101100091. The next prime is 1012101100121. The reversal of 1012101100120 is 210011012101.

It is a super-2 number, since 2×1012101100120² (a number of 25 digits) contains 22 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 = 1012101100097 and 1012101100106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012101100121) 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, 1753687 + ... + 2258233.

It is an arithmetic number, because the mean of its divisors is an integer number (20025510120).

Almost surely, 2^{1012101100120} is an apocalyptic number.

1012101100120 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 1012101100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281632647680).

1012101100120 is an abundant number, since it is smaller than the sum of its proper divisors (1551164195240).

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

1012101100120 is a wasteful number, since it uses less digits than its factorization.

1012101100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504713 (or 504709 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1012101100120 its reverse (210011012101), we get a palindrome (1222112112221).

The spelling of 1012101100120 in words is "one trillion, twelve billion, one hundred one million, one hundred thousand, one hundred twenty".