2101002020001 has 6 divisors (see below), whose sum is σ = 3034780695570. Its totient is φ = 1400668013328.

The previous prime is 2101002019943. The next prime is 2101002020071. The reversal of 2101002020001 is 1000202001012.

It can be written as a sum of positive squares in only one way, i.e., 1880529512976 + 220472507025 = 1371324^2 + 469545^2 .

It is not a de Polignac number, because 2101002020001 - 2⁶ = 2101002019937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 233444668889 = 2101002020001 / (2 + 1 + 0 + 1 + 0 + 0 + 2 + 0 + 2 + 0 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (2101002020071) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 116722334436 + ... + 116722334453.

It is an arithmetic number, because the mean of its divisors is an integer number (505796782595).

Almost surely, 2^{2101002020001} is an apocalyptic number.

It is an amenable number.

2101002020001 is a deficient number, since it is larger than the sum of its proper divisors (933778675569).

2101002020001 is a wasteful number, since it uses less digits than its factorization.

2101002020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233444668895 (or 233444668892 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2101002020001 its reverse (1000202001012), we get a palindrome (3101204021013).

The spelling of 2101002020001 in words is "two trillion, one hundred one billion, two million, twenty thousand, one".