102211222211010 has 64 divisors (see below), whose sum is σ = 297341737349760. Its totient is φ = 24778478111040.

The previous prime is 102211222210973. The next prime is 102211222211011. The reversal of 102211222211010 is 10112222112201.

102211222211010 is a `hidden beast` number, since 1 + 0 + 221 + 1 + 222 + 211 + 0 + 10 = 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 (102211222211011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17207273497 + ... + 17207279436.

It is an arithmetic number, because the mean of its divisors is an integer number (4645964646090).

Almost surely, 2^{102211222211010} is an apocalyptic number.

102211222211010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102211222211010 is an abundant number, since it is smaller than the sum of its proper divisors (195130515138750).

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

102211222211010 is a wasteful number, since it uses less digits than its factorization.

102211222211010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34414552960 (or 34414552954 counting only the distinct ones).

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

Adding to 102211222211010 its reverse (10112222112201), we get a palindrome (112323444323211).

The spelling of 102211222211010 in words is "one hundred two trillion, two hundred eleven billion, two hundred twenty-two million, two hundred eleven thousand, ten".