2010002211120 has 80 divisors (see below), whose sum is σ = 6333154553952. Its totient is φ = 527213690880.

The previous prime is 2010002211103. The next prime is 2010002211137. The reversal of 2010002211120 is 211122000102.

It is an interprime number because it is at equal distance from previous prime (2010002211103) and next prime (2010002211137).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2010002211096 and 2010002211105.

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, 68632977 + ... + 68662256.

Almost surely, 2^{2010002211120} is an apocalyptic number.

2010002211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010002211120 is an abundant number, since it is smaller than the sum of its proper divisors (4323152342832).

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

2010002211120 is a wasteful number, since it uses less digits than its factorization.

2010002211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137295310 (or 137295304 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2010002211120 its reverse (211122000102), we get a palindrome (2221124211222).

The spelling of 2010002211120 in words is "two trillion, ten billion, two million, two hundred eleven thousand, one hundred twenty".