100101021000003 has 48 divisors (see below), whose sum is σ = 145064670660000. Its totient is φ = 66515507527680.

The previous prime is 100101020999989. The next prime is 100101021000047. The reversal of 100101021000003 is 300000120101001.

It is not a de Polignac number, because 100101021000003 - 2⁴² = 95702974488899 is a prime.

It is a super-2 number, since 2×100101021000003² (a number of 29 digits) contains 22 as substring.

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 (100101021000803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14057154283 + ... + 14057161403.

It is an arithmetic number, because the mean of its divisors is an integer number (3022180638750).

Almost surely, 2^{100101021000003} is an apocalyptic number.

100101021000003 is a deficient number, since it is larger than the sum of its proper divisors (44963649659997).

100101021000003 is a wasteful number, since it uses less digits than its factorization.

100101021000003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11172 (or 11169 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 100101021000003 its reverse (300000120101001), we get a palindrome (400101141101004).

The spelling of 100101021000003 in words is "one hundred trillion, one hundred one billion, twenty-one million, three", and thus it is an aban number.