1020001002101 has 8 divisors (see below), whose sum is σ = 1023097149624. Its totient is φ = 1016906788800.

The previous prime is 1020001002089. The next prime is 1020001002103. The reversal of 1020001002101 is 1012001000201.

It can be written as a sum of positive squares in 4 ways, for example, as 9978012100 + 1010022990001 = 99890^2 + 1004999^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1020001002101 is a prime.

It is a super-3 number, since 3×1020001002101³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020001002103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 576251 + ... + 1540151.

It is an arithmetic number, because the mean of its divisors is an integer number (127887143703).

Almost surely, 2^{1020001002101} is an apocalyptic number.

It is an amenable number.

1020001002101 is a deficient number, since it is larger than the sum of its proper divisors (3096147523).

1020001002101 is an equidigital number, since it uses as much as digits as its factorization.

1020001002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967111.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1020001002101 its reverse (1012001000201), we get a palindrome (2032002002302).

The spelling of 1020001002101 in words is "one trillion, twenty billion, one million, two thousand, one hundred one".