100102001021001 has 12 divisors (see below), whose sum is σ = 165247747717312. Its totient is φ = 57201143440536.

The previous prime is 100102001020907. The next prime is 100102001021027. The reversal of 100102001021001 is 100120100201001.

It is a happy number.

It is not a de Polignac number, because 100102001021001 - 2¹⁹ = 100102000496713 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100102001021081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 794460325501 + ... + 794460325626.

Almost surely, 2^{100102001021001} is an apocalyptic number.

It is an amenable number.

100102001021001 is a deficient number, since it is larger than the sum of its proper divisors (65145746696311).

100102001021001 is a wasteful number, since it uses less digits than its factorization.

100102001021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588920651140 (or 1588920651137 counting only the distinct ones).

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

Adding to 100102001021001 its reverse (100120100201001), we get a palindrome (200222101222002).

The spelling of 100102001021001 in words is "one hundred trillion, one hundred two billion, one million, twenty-one thousand, one".