102011021020001 has 16 divisors (see below), whose sum is σ = 103525170949200. Its totient is φ = 100507839234048.

The previous prime is 102011021019917. The next prime is 102011021020003. The reversal of 102011021020001 is 100020120110201.

It can be written as a sum of positive squares in 8 ways, for example, as 8413619589376 + 93597401430625 = 2900624^2 + 9674575^2 .

It is a cyclic number.

It is not a de Polignac number, because 102011021020001 - 2¹⁸ = 102011020757857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102011021020003) 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, 47524385 + ... + 49624481.

It is an arithmetic number, because the mean of its divisors is an integer number (6470323184325).

Almost surely, 2^{102011021020001} is an apocalyptic number.

It is an amenable number.

102011021020001 is a deficient number, since it is larger than the sum of its proper divisors (1514149929199).

102011021020001 is a wasteful number, since it uses less digits than its factorization.

102011021020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102708.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102011021020001 its reverse (100020120110201), we get a palindrome (202031141130202).

The spelling of 102011021020001 in words is "one hundred two trillion, eleven billion, twenty-one million, twenty thousand, one".