1021101002001 has 12 divisors (see below), whose sum is σ = 1475007705600. Its totient is φ = 680695215480.

The previous prime is 1021101001961. The next prime is 1021101002041. The reversal of 1021101002001 is 1002001011201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1021101001961) and next prime (1021101002041).

It is not a de Polignac number, because 1021101002001 - 2¹¹ = 1021100999953 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1021101002041) 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 11 ways as a sum of consecutive naturals, for example, 3064965 + ... + 3381746.

It is an arithmetic number, because the mean of its divisors is an integer number (122917308800).

Almost surely, 2^{1021101002001} is an apocalyptic number.

It is an amenable number.

1021101002001 is a deficient number, since it is larger than the sum of its proper divisors (453906703599).

1021101002001 is a wasteful number, since it uses less digits than its factorization.

1021101002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6464316 (or 6464313 counting only the distinct ones).

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

Adding to 1021101002001 its reverse (1002001011201), we get a palindrome (2023102013202).

The spelling of 1021101002001 in words is "one trillion, twenty-one billion, one hundred one million, two thousand, one".