100212101122010 has 64 divisors (see below), whose sum is σ = 191072997653760. Its totient is φ = 37765699276800.

The previous prime is 100212101121991. The next prime is 100212101122093. The reversal of 100212101122010 is 10221101212001.

It is a super-2 number, since 2×100212101122010² (a number of 29 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 6692540 + ... + 15659319.

It is an arithmetic number, because the mean of its divisors is an integer number (2985515588340).

Almost surely, 2^{100212101122010} is an apocalyptic number.

100212101122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100212101122010 is a deficient number, since it is larger than the sum of its proper divisors (90860896531750).

100212101122010 is a wasteful number, since it uses less digits than its factorization.

100212101122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22352183.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100212101122010 its reverse (10221101212001), we get a palindrome (110433202334011).

The spelling of 100212101122010 in words is "one hundred trillion, two hundred twelve billion, one hundred one million, one hundred twenty-two thousand, ten".