100211122012110 has 64 divisors (see below), whose sum is σ = 247849901393472. Its totient is φ = 25911983794176.

The previous prime is 100211122012093. The next prime is 100211122012121. The reversal of 100211122012110 is 11210221112001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100211122012110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153736699 + ... + 154387158.

It is an arithmetic number, because the mean of its divisors is an integer number (3872654709273).

Almost surely, 2^{100211122012110} is an apocalyptic number.

100211122012110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100211122012110 is an abundant number, since it is smaller than the sum of its proper divisors (147638779381362).

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

100211122012110 is a wasteful number, since it uses less digits than its factorization.

100211122012110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308124197.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100211122012110 its reverse (11210221112001), we get a palindrome (111421343124111).

The spelling of 100211122012110 in words is "one hundred trillion, two hundred eleven billion, one hundred twenty-two million, twelve thousand, one hundred ten".