100121121211110 has 32 divisors (see below), whose sum is σ = 250738112252160. Its totient is φ = 25538141062368.

The previous prime is 100121121211109. The next prime is 100121121211183. The reversal of 100121121211110 is 11112121121001.

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 100121121211110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72551536420 + ... + 72551537799.

It is an arithmetic number, because the mean of its divisors is an integer number (7835566007880).

Almost surely, 2^{100121121211110} is an apocalyptic number.

100121121211110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100121121211110 is an abundant number, since it is smaller than the sum of its proper divisors (150616991041050).

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

100121121211110 is a wasteful number, since it uses less digits than its factorization.

100121121211110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145103074252.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 100121121211110 its reverse (11112121121001), we get a palindrome (111233242332111).

The spelling of 100121121211110 in words is "one hundred trillion, one hundred twenty-one billion, one hundred twenty-one million, two hundred eleven thousand, one hundred ten".