101012000220 has 144 divisors (see below), whose sum is σ = 324835999488. Its totient is φ = 25363031040.

The previous prime is 101012000207. The next prime is 101012000227. The reversal of 101012000220 is 22000210101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012000227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38169 + ... + 451088.

It is an arithmetic number, because the mean of its divisors is an integer number (2255805552).

Almost surely, 2^101012000220 is an apocalyptic number.

101012000220 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 101012000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162417999744).

101012000220 is an abundant number, since it is smaller than the sum of its proper divisors (223823999268).

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

101012000220 is a wasteful number, since it uses less digits than its factorization.

101012000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489340 (or 489335 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101012000220 its reverse (22000210101), we get a palindrome (123012210321).

The spelling of 101012000220 in words is "one hundred one billion, twelve million, two hundred twenty", and thus it is an aban number.