1021000120101 has 48 divisors (see below), whose sum is σ = 1640409364800. Its totient is φ = 627343748928.

The previous prime is 1021000120099. The next prime is 1021000120103. The reversal of 1021000120101 is 1010210001201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1021000120099) and next prime (1021000120103).

It is not a de Polignac number, because 1021000120101 - 2¹ = 1021000120099 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021000120103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2808310 + ... + 3150968.

It is an arithmetic number, because the mean of its divisors is an integer number (34175195100).

Almost surely, 2^{1021000120101} is an apocalyptic number.

It is an amenable number.

1021000120101 is a deficient number, since it is larger than the sum of its proper divisors (619409244699).

1021000120101 is a wasteful number, since it uses less digits than its factorization.

1021000120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343347 (or 343328 counting only the distinct ones).

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

Adding to 1021000120101 its reverse (1010210001201), we get a palindrome (2031210121302).

The spelling of 1021000120101 in words is "one trillion, twenty-one billion, one hundred twenty thousand, one hundred one".