121211022100000 has 288 divisors, whose sum is σ = 340940399667840. Its totient is φ = 41551211520000.

The previous prime is 121211022099983. The next prime is 121211022100001. The reversal of 121211022100000 is 1220112121.

It is a super-2 number, since 2×121211022100000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121211022100001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6115890091 + ... + 6115909909.

It is an arithmetic number, because the mean of its divisors is an integer number (1183820832180).

Almost surely, 2^{121211022100000} is an apocalyptic number.

121211022100000 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 121211022100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170470199833920).

121211022100000 is an abundant number, since it is smaller than the sum of its proper divisors (219729377567840).

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

121211022100000 is an frugal number, since it uses more digits than its factorization.

121211022100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28598 (or 28570 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 121211022100000 its reverse (1220112121), we get a palindrome (121212242212121).

The spelling of 121211022100000 in words is "one hundred twenty-one trillion, two hundred eleven billion, twenty-two million, one hundred thousand".