101111002000120 has 128 divisors (see below), whose sum is σ = 263701615564800. Its totient is φ = 34173191001600.

The previous prime is 101111002000109. The next prime is 101111002000121. The reversal of 101111002000120 is 21000200111101.

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 = 101111002000097 and 101111002000106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111002000121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132038901 + ... + 132802459.

It is an arithmetic number, because the mean of its divisors is an integer number (2060168871600).

Almost surely, 2^{101111002000120} is an apocalyptic number.

101111002000120 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 101111002000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131850807782400).

101111002000120 is an abundant number, since it is smaller than the sum of its proper divisors (162590613564680).

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

101111002000120 is a wasteful number, since it uses less digits than its factorization.

101111002000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770309 (or 770305 counting only the distinct ones).

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

Adding to 101111002000120 its reverse (21000200111101), we get a palindrome (122111202111221).

The spelling of 101111002000120 in words is "one hundred one trillion, one hundred eleven billion, two million, one hundred twenty", and thus it is an aban number.