1001100212001 has 6 divisors (see below), whose sum is σ = 1446033639570. Its totient is φ = 667400141328.

The previous prime is 1001100211973. The next prime is 1001100212009. The reversal of 1001100212001 is 1002120011001.

It is a happy number.

1001100212001 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 523197608976 + 477902603025 = 723324^2 + 691305^2 .

It is not a de Polignac number, because 1001100212001 - 2⁷ = 1001100211873 is a prime.

It is a super-3 number, since 3×1001100212001³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 111233356889 = 1001100212001 / (1 + 0 + 0 + 1 + 1 + 0 + 0 + 2 + 1 + 2 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (1001100212009) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55616678436 + ... + 55616678453.

It is an arithmetic number, because the mean of its divisors is an integer number (241005606595).

Almost surely, 2^{1001100212001} is an apocalyptic number.

It is an amenable number.

1001100212001 is a deficient number, since it is larger than the sum of its proper divisors (444933427569).

1001100212001 is a wasteful number, since it uses less digits than its factorization.

1001100212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111233356895 (or 111233356892 counting only the distinct ones).

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

Adding to 1001100212001 its reverse (1002120011001), we get a palindrome (2003220223002).

It can be divided in two parts, 1001 and 100212001, that multiplied together give a palindrome (100312213001).

The spelling of 1001100212001 in words is "one trillion, one billion, one hundred million, two hundred twelve thousand, one".