1001010110120 has 32 divisors (see below), whose sum is σ = 2257474340520. Its totient is φ = 399479316480.

The previous prime is 1001010110099. The next prime is 1001010110143. The reversal of 1001010110120 is 210110101001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 310911068836 + 690099041284 = 557594^2 + 830722^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1001010110098 and 1001010110107.

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, 28880201 + ... + 28914840.

Almost surely, 2^{1001010110120} is an apocalyptic number.

1001010110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001010110120 is an abundant number, since it is smaller than the sum of its proper divisors (1256464230400).

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

1001010110120 is a wasteful number, since it uses less digits than its factorization.

1001010110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57795485 (or 57795481 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1001010110120 its reverse (210110101001), we get a palindrome (1211120211121).

The spelling of 1001010110120 in words is "one trillion, one billion, ten million, one hundred ten thousand, one hundred twenty".