121022012210100 has 144 divisors (see below), whose sum is σ = 354992149548288. Its totient is φ = 31826998517760.

The previous prime is 121022012210083. The next prime is 121022012210107. The reversal of 121022012210100 is 1012210220121.

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 121022012210100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121022012210107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205061637 + ... + 205650963.

It is an arithmetic number, because the mean of its divisors is an integer number (2465223260752).

Almost surely, 2^{121022012210100} is an apocalyptic number.

121022012210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121022012210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177496074774144).

121022012210100 is an abundant number, since it is smaller than the sum of its proper divisors (233970137338188).

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

121022012210100 is a wasteful number, since it uses less digits than its factorization.

121022012210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598794 (or 598787 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121022012210100 its reverse (1012210220121), we get a palindrome (122034222430221).

The spelling of 121022012210100 in words is "one hundred twenty-one trillion, twenty-two billion, twelve million, two hundred ten thousand, one hundred".