1020212210120 has 64 divisors (see below), whose sum is σ = 2416430016000. Its totient is φ = 386584662528.

The previous prime is 1020212210119. The next prime is 1020212210131. The reversal of 1020212210120 is 210122120201.

1020212210120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1020212210120³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020212210095 and 1020212210104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20573516 + ... + 20623044.

It is an arithmetic number, because the mean of its divisors is an integer number (37756719000).

Almost surely, 2^{1020212210120} is an apocalyptic number.

1020212210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020212210120 is an abundant number, since it is smaller than the sum of its proper divisors (1396217805880).

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

1020212210120 is a wasteful number, since it uses less digits than its factorization.

1020212210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76662 (or 76658 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1020212210120 its reverse (210122120201), we get a palindrome (1230334330321).

The spelling of 1020212210120 in words is "one trillion, twenty billion, two hundred twelve million, two hundred ten thousand, one hundred twenty".