121000211122122 has 24 divisors (see below), whose sum is σ = 262169657027460. Its totient is φ = 40333014025920.

The previous prime is 121000211122081. The next prime is 121000211122201. The reversal of 121000211122122 is 221221112000121.

121000211122122 is a `hidden beast` number, since 1 + 210 + 0 + 0 + 211 + 1 + 221 + 22 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 120711510160641 + 288700961481 = 10986879^2 + 537309^2 .

It is a super-3 number, since 3×121000211122122³ (a number of 43 digits) contains 333 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 = 121000211122095 and 121000211122104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30555579 + ... + 34287662.

Almost surely, 2^{121000211122122} is an apocalyptic number.

121000211122122 is an abundant number, since it is smaller than the sum of its proper divisors (141169445905338).

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

121000211122122 is a wasteful number, since it uses less digits than its factorization.

121000211122122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64946918 (or 64946915 counting only the distinct ones).

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

Adding to 121000211122122 its reverse (221221112000121), we get a palindrome (342221323122243).

The spelling of 121000211122122 in words is "one hundred twenty-one trillion, two hundred eleven million, one hundred twenty-two thousand, one hundred twenty-two".