21121210001122 has 256 divisors, whose sum is σ = 42932930826240. Its totient is φ = 7545208320000.

The previous prime is 21121210001069. The next prime is 21121210001131. The reversal of 21121210001122 is 22110001212112.

It is a super-2 number, since 2×21121210001122² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21121210001096 and 21121210001105.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11312912833 + ... + 11312914699.

It is an arithmetic number, because the mean of its divisors is an integer number (167706761040).

Almost surely, 2^{21121210001122} is an apocalyptic number.

21121210001122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21121210001122 is an abundant number, since it is smaller than the sum of its proper divisors (21811720825118).

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

21121210001122 is a wasteful number, since it uses less digits than its factorization.

21121210001122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2649.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21121210001122 its reverse (22110001212112), we get a palindrome (43231211213234).

The spelling of 21121210001122 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred ten million, one thousand, one hundred twenty-two".