101221030112202 has 384 divisors, whose sum is σ = 308125726272000. Its totient is φ = 23167331665920.

The previous prime is 101221030112099. The next prime is 101221030112203. The reversal of 101221030112202 is 202211030122101.

101221030112202 is a `hidden beast` number, since 10 + 122 + 10 + 301 + 1 + 220 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101221030112203) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33900924 + ... + 36765672.

It is an arithmetic number, because the mean of its divisors is an integer number (802410745500).

Almost surely, 2^{101221030112202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101221030112202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154062863136000).

101221030112202 is an abundant number, since it is smaller than the sum of its proper divisors (206904696159798).

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

101221030112202 is a wasteful number, since it uses less digits than its factorization.

101221030112202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2864878 (or 2864875 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101221030112202 its reverse (202211030122101), we get a palindrome (303432060234303).

The spelling of 101221030112202 in words is "one hundred one trillion, two hundred twenty-one billion, thirty million, one hundred twelve thousand, two hundred two".