1000010021101 has 16 divisors (see below), whose sum is σ = 1249151446144. Its totient is φ = 779407510464.

The previous prime is 1000010021033. The next prime is 1000010021107. The reversal of 1000010021101 is 1011200100001.

It is a cyclic number.

It is not a de Polignac number, because 1000010021101 - 2²⁷ = 999875803373 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000010021107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82002270 + ... + 82014463.

It is an arithmetic number, because the mean of its divisors is an integer number (78071965384).

Almost surely, 2^{1000010021101} is an apocalyptic number.

It is an amenable number.

1000010021101 is a deficient number, since it is larger than the sum of its proper divisors (249141425043).

1000010021101 is a wasteful number, since it uses less digits than its factorization.

1000010021101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164016820.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1000010021101 its reverse (1011200100001), we get a palindrome (2011210121102).

The spelling of 1000010021101 in words is "one trillion, ten million, twenty-one thousand, one hundred one".