101201010201120 has 48 divisors (see below), whose sum is σ = 318783182135040. Its totient is φ = 26986936053504.

The previous prime is 101201010201043. The next prime is 101201010201209. The reversal of 101201010201120 is 21102010102101.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 101201010201096 and 101201010201105.

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 7 ways as a sum of consecutive naturals, for example, 105417718480 + ... + 105417719439.

It is an arithmetic number, because the mean of its divisors is an integer number (6641316294480).

Almost surely, 2^{101201010201120} is an apocalyptic number.

101201010201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101201010201120 is an abundant number, since it is smaller than the sum of its proper divisors (217582171933920).

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

101201010201120 is a wasteful number, since it uses less digits than its factorization.

101201010201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210835437937 (or 210835437929 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101201010201120 its reverse (21102010102101), we get a palindrome (122303020303221).

The spelling of 101201010201120 in words is "one hundred one trillion, two hundred one billion, ten million, two hundred one thousand, one hundred twenty".