101201012000220 has 48 divisors (see below), whose sum is σ = 309123091202688. Its totient is φ = 24533578666560.

The previous prime is 101201012000197. The next prime is 101201012000251. The reversal of 101201012000220 is 22000210102101.

101201012000220 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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 = 101201012000196 and 101201012000205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76667432674 + ... + 76667433993.

It is an arithmetic number, because the mean of its divisors is an integer number (6440064400056).

Almost surely, 2^{101201012000220} is an apocalyptic number.

101201012000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101201012000220 is an abundant number, since it is smaller than the sum of its proper divisors (207922079202468).

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

101201012000220 is a wasteful number, since it uses less digits than its factorization.

101201012000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153334866690 (or 153334866688 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101201012000220 its reverse (22000210102101), we get a palindrome (123201222102321).

The spelling of 101201012000220 in words is "one hundred one trillion, two hundred one billion, twelve million, two hundred twenty", and thus it is an aban number.