1001121010002 has 40 divisors (see below), whose sum is σ = 2320606183500. Its totient is φ = 322199863776.

The previous prime is 1001121009991. The next prime is 1001121010003. The reversal of 1001121010002 is 2000101211001.

It is a happy number.

1001121010002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 992954453841 + 8166556161 = 996471^2 + 90369^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1001121010003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 106542877 + ... + 106552272.

Almost surely, 2^{1001121010002} is an apocalyptic number.

1001121010002 is an abundant number, since it is smaller than the sum of its proper divisors (1319485173498).

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

1001121010002 is a wasteful number, since it uses less digits than its factorization.

1001121010002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213095192 (or 213095183 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1001121010002 its reverse (2000101211001), we get a palindrome (3001222221003).

The spelling of 1001121010002 in words is "one trillion, one billion, one hundred twenty-one million, ten thousand, two".