121211102122020 has 288 divisors, whose sum is σ = 373180047851520. Its totient is φ = 31840828980480.

The previous prime is 121211102121983. The next prime is 121211102122051. The reversal of 121211102122020 is 20221201112121.

121211102122020 is a `hidden beast` number, since 121 + 21 + 110 + 212 + 202 + 0 = 666.

It is a super-2 number, since 2×121211102122020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121211102121984 and 121211102122002.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 17358023449 + ... + 17358030431.

It is an arithmetic number, because the mean of its divisors is an integer number (1295764055040).

Almost surely, 2^{121211102122020} is an apocalyptic number.

121211102122020 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 121211102122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186590023925760).

121211102122020 is an abundant number, since it is smaller than the sum of its proper divisors (251968945729500).

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

121211102122020 is a wasteful number, since it uses less digits than its factorization.

121211102122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9695 (or 9690 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121211102122020 its reverse (20221201112121), we get a palindrome (141432303234141).

The spelling of 121211102122020 in words is "one hundred twenty-one trillion, two hundred eleven billion, one hundred two million, one hundred twenty-two thousand, twenty".