101221012200 has 384 divisors, whose sum is σ = 392879139840. Its totient is φ = 20943360000.

The previous prime is 101221012187. The next prime is 101221012201. The reversal of 101221012200 is 2210122101.

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

It is not an unprimeable number, because it can be changed into a prime (101221012201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11129655 + ... + 11138745.

It is an arithmetic number, because the mean of its divisors is an integer number (1023122760).

Almost surely, 2^101221012200 is an apocalyptic number.

101221012200 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 101221012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196439569920).

101221012200 is an abundant number, since it is smaller than the sum of its proper divisors (291658127640).

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

101221012200 is a wasteful number, since it uses less digits than its factorization.

101221012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9369 (or 9360 counting only the distinct ones).

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

Adding to 101221012200 its reverse (2210122101), we get a palindrome (103431134301).

It can be divided in two parts, 10122 and 1012200, that multiplied together give a square (10245488400 = 101220²).

The spelling of 101221012200 in words is "one hundred one billion, two hundred twenty-one million, twelve thousand, two hundred".