101122212121010 has 16 divisors (see below), whose sum is σ = 182021329728576. Its totient is φ = 40448585312688.

The previous prime is 101122212120991. The next prime is 101122212121019. The reversal of 101122212121010 is 10121212221101.

It is a self number, because there is not a number n which added to its sum of digits gives 101122212121010.

It is not an unprimeable number, because it can be changed into a prime (101122212121019) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 36021494 + ... + 38727153.

It is an arithmetic number, because the mean of its divisors is an integer number (11376333108036).

Almost surely, 2^{101122212121010} is an apocalyptic number.

101122212121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101122212121010 is a deficient number, since it is larger than the sum of its proper divisors (80899117607566).

101122212121010 is a wasteful number, since it uses less digits than its factorization.

101122212121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74883937.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101122212121010 its reverse (10121212221101), we get a palindrome (111243424342111).

The spelling of 101122212121010 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred twelve million, one hundred twenty-one thousand, ten".