100212110110101 has 64 divisors (see below), whose sum is σ = 150890850671616. Its totient is φ = 58632989184000.

The previous prime is 100212110110039. The next prime is 100212110110159. The reversal of 100212110110101 is 101011011212001.

It is not a de Polignac number, because 100212110110101 - 2²⁷ = 100211975892373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212110110901) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82089150 + ... + 83300976.

It is an arithmetic number, because the mean of its divisors is an integer number (2357669541744).

Almost surely, 2^{100212110110101} is an apocalyptic number.

100212110110101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100212110110101 is a deficient number, since it is larger than the sum of its proper divisors (50678740561515).

100212110110101 is a wasteful number, since it uses less digits than its factorization.

100212110110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212562.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100212110110101 its reverse (101011011212001), we get a palindrome (201223121322102).

The spelling of 100212110110101 in words is "one hundred trillion, two hundred twelve billion, one hundred ten million, one hundred ten thousand, one hundred one".