1002021110101 has 16 divisors (see below), whose sum is σ = 1095618312000. Its totient is φ = 908842480000.

The previous prime is 1002021110081. The next prime is 1002021110107. The reversal of 1002021110101 is 1010111202001.

It is a cyclic number.

It is not a de Polignac number, because 1002021110101 - 2³⁷ = 864582156629 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002021110107) 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 15 ways as a sum of consecutive naturals, for example, 18174825 + ... + 18229873.

It is an arithmetic number, because the mean of its divisors is an integer number (68476144500).

Almost surely, 2^{1002021110101} is an apocalyptic number.

1002021110101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002021110101 is a deficient number, since it is larger than the sum of its proper divisors (93597201899).

1002021110101 is a wasteful number, since it uses less digits than its factorization.

1002021110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58820.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1002021110101 its reverse (1010111202001), we get a palindrome (2012132312102).

The spelling of 1002021110101 in words is "one trillion, two billion, twenty-one million, one hundred ten thousand, one hundred one".