101211222102210 has 288 divisors, whose sum is σ = 306297602812656. Its totient is φ = 23090006016000.

The previous prime is 101211222102167. The next prime is 101211222102233. The reversal of 101211222102210 is 12201222112101.

101211222102210 is a `hidden beast` number, since 1 + 0 + 1 + 211 + 22 + 210 + 221 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 90531247773681 + 10679974328529 = 9514791^2 + 3268023^2 .

It is a super-2 number, since 2×101211222102210² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 1832944522 + ... + 1832999738.

Almost surely, 2^{101211222102210} is an apocalyptic number.

101211222102210 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 101211222102210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153148801406328).

101211222102210 is an abundant number, since it is smaller than the sum of its proper divisors (205086380710446).

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

101211222102210 is a wasteful number, since it uses less digits than its factorization.

101211222102210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65170 (or 65156 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101211222102210 its reverse (12201222112101), we get a palindrome (113412444214311).

The spelling of 101211222102210 in words is "one hundred one trillion, two hundred eleven billion, two hundred twenty-two million, one hundred two thousand, two hundred ten".