101220221001210 has 512 divisors, whose sum is σ = 269034172416000. Its totient is φ = 24271528673280.

The previous prime is 101220221001209. The next prime is 101220221001259. The reversal of 101220221001210 is 12100122022101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101220221001210.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 142764768336 + ... + 142764769044.

It is an arithmetic number, because the mean of its divisors is an integer number (525457368000).

Almost surely, 2^{101220221001210} is an apocalyptic number.

101220221001210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101220221001210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134517086208000).

101220221001210 is an abundant number, since it is smaller than the sum of its proper divisors (167813951414790).

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

101220221001210 is a wasteful number, since it uses less digits than its factorization.

101220221001210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101220221001210 its reverse (12100122022101), we get a palindrome (113320343023311).

The spelling of 101220221001210 in words is "one hundred one trillion, two hundred twenty billion, two hundred twenty-one million, one thousand, two hundred ten".