103211022121020 has 288 divisors, whose sum is σ = 343191988129536. Its totient is φ = 24899535897600.

The previous prime is 103211022120979. The next prime is 103211022121037. The reversal of 103211022121020 is 20121220112301.

103211022121020 is a `hidden beast` number, since 1 + 0 + 3 + 211 + 0 + 221 + 210 + 20 = 666.

It is a super-3 number, since 3×103211022121020³ (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 = 103211022120984 and 103211022121002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1032359635 + ... + 1032459605.

It is an arithmetic number, because the mean of its divisors is an integer number (1191638847672).

Almost surely, 2^{103211022121020} is an apocalyptic number.

103211022121020 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 103211022121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171595994064768).

103211022121020 is an abundant number, since it is smaller than the sum of its proper divisors (239980966008516).

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

103211022121020 is a wasteful number, since it uses less digits than its factorization.

103211022121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102521 (or 102516 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 103211022121020 its reverse (20121220112301), we get a palindrome (123332242233321).

The spelling of 103211022121020 in words is "one hundred three trillion, two hundred eleven billion, twenty-two million, one hundred twenty-one thousand, twenty".