102211122122010 has 320 divisors, whose sum is σ = 300368857751424. Its totient is φ = 24733079654400.

The previous prime is 102211122121939. The next prime is 102211122122027. The reversal of 102211122122010 is 10221221112201.

102211122122010 is a `hidden beast` number, since 1 + 0 + 2 + 211 + 1 + 221 + 220 + 10 = 666.

It is a super-2 number, since 2×102211122122010² (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 (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13115756674 + ... + 13115764466.

Almost surely, 2^{102211122122010} is an apocalyptic number.

102211122122010 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 102211122122010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150184428875712).

102211122122010 is an abundant number, since it is smaller than the sum of its proper divisors (198157735629414).

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

102211122122010 is a wasteful number, since it uses less digits than its factorization.

102211122122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10331 (or 10322 counting only the distinct ones).

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

Adding to 102211122122010 its reverse (10221221112201), we get a palindrome (112432343234211).

The spelling of 102211122122010 in words is "one hundred two trillion, two hundred eleven billion, one hundred twenty-two million, one hundred twenty-two thousand, ten".