101000000002120 has 32 divisors (see below), whose sum is σ = 227643847543800. Its totient is φ = 40329982660608.

The previous prime is 101000000002051. The next prime is 101000000002171. The reversal of 101000000002120 is 21200000000101.

It can be written as a sum of positive squares in 4 ways, for example, as 93738451787044 + 7261548215076 = 9681862^2 + 2694726^2 .

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, 2188018515 + ... + 2188064674.

Almost surely, 2^{101000000002120} is an apocalyptic number.

101000000002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000000002120 is an abundant number, since it is smaller than the sum of its proper divisors (126643847541680).

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

101000000002120 is a wasteful number, since it uses less digits than its factorization.

101000000002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4376083777 (or 4376083773 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 101000000002120 its reverse (21200000000101), we get a palindrome (122200000002221).

The spelling of 101000000002120 in words is "one hundred one trillion, two thousand, one hundred twenty".