1000120210001 has 12 divisors (see below), whose sum is σ = 1099562564100. Its totient is φ = 908987735040.

The previous prime is 1000120209989. The next prime is 1000120210003.

1000120210001 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 881645881600 + 118474328401 = 938960^2 + 344201^2 .

It is not a de Polignac number, because 1000120210001 - 2⁶ = 1000120209937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1000120210003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 444596 + ... + 1482533.

It is an arithmetic number, because the mean of its divisors is an integer number (91630213675).

Almost surely, 2^{1000120210001} is an apocalyptic number.

1000120210001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000120210001 is a deficient number, since it is larger than the sum of its proper divisors (99442354099).

1000120210001 is a wasteful number, since it uses less digits than its factorization.

1000120210001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1931440 (or 1931429 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

It can be divided in two parts, 1000120 and 210001, that added together give a palindrome (1210121).

The spelling of 1000120210001 in words is "one trillion, one hundred twenty million, two hundred ten thousand, one".