101011013120 has 160 divisors (see below), whose sum is σ = 245274480000. Its totient is φ = 39892525056.

The previous prime is 101011013099. The next prime is 101011013137. The reversal of 101011013120 is 21310110101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136685711 + ... + 136686449.

It is an arithmetic number, because the mean of its divisors is an integer number (1532965500).

Almost surely, 2^101011013120 is an apocalyptic number.

101011013120 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 101011013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122637240000).

101011013120 is an abundant number, since it is smaller than the sum of its proper divisors (144263466880).

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

101011013120 is an equidigital number, since it uses as much as digits as its factorization.

101011013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 101011013120 its reverse (21310110101), we get a palindrome (122321123221).

The spelling of 101011013120 in words is "one hundred one billion, eleven million, thirteen thousand, one hundred twenty".