1000220002120 has 32 divisors (see below), whose sum is σ = 2251026038520. Its totient is φ = 399993594880.

The previous prime is 1000220002091. The next prime is 1000220002141. The reversal of 1000220002120 is 212000220001.

It can be written as a sum of positive squares in 4 ways, for example, as 794091289924 + 206128712196 = 891118^2 + 454014^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1000220002097 and 1000220002106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2778427 + ... + 3117706.

Almost surely, 2^{1000220002120} is an apocalyptic number.

1000220002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000220002120 is an abundant number, since it is smaller than the sum of its proper divisors (1250806036400).

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

1000220002120 is a wasteful number, since it uses less digits than its factorization.

1000220002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5900385 (or 5900381 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1000220002120 its reverse (212000220001), we get a palindrome (1212220222121).

The spelling of 1000220002120 in words is "one trillion, two hundred twenty million, two thousand, one hundred twenty".