101012221200 has 240 divisors, whose sum is σ = 355113271296. Its totient is φ = 24340646400.

The previous prime is 101012221183. The next prime is 101012221217. The reversal of 101012221200 is 2122210101.

101012221200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101012221183) and next prime (101012221217).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2181489 + ... + 2227311.

Almost surely, 2^101012221200 is an apocalyptic number.

101012221200 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 101012221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177556635648).

101012221200 is an abundant number, since it is smaller than the sum of its proper divisors (254101050096).

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

101012221200 is a wasteful number, since it uses less digits than its factorization.

101012221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46022 (or 46011 counting only the distinct ones).

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

Adding to 101012221200 its reverse (2122210101), we get a palindrome (103134431301).

The spelling of 101012221200 in words is "one hundred one billion, twelve million, two hundred twenty-one thousand, two hundred".