100121221011210 has 128 divisors (see below), whose sum is σ = 278359538688000. Its totient is φ = 22573625218560.

The previous prime is 100121221011191. The next prime is 100121221011223. The reversal of 100121221011210 is 12110122121001.

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 100121221011210.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14526345 + ... + 20279475.

It is an arithmetic number, because the mean of its divisors is an integer number (2174683896000).

Almost surely, 2^{100121221011210} is an apocalyptic number.

100121221011210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100121221011210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139179769344000).

100121221011210 is an abundant number, since it is smaller than the sum of its proper divisors (178238317676790).

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

100121221011210 is a wasteful number, since it uses less digits than its factorization.

100121221011210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5754276.

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

Adding to 100121221011210 its reverse (12110122121001), we get a palindrome (112231343132211).

The spelling of 100121221011210 in words is "one hundred trillion, one hundred twenty-one billion, two hundred twenty-one million, eleven thousand, two hundred ten".