1020101102001 has 24 divisors (see below), whose sum is σ = 1524461126760. Its totient is φ = 656542656000.

The previous prime is 1020101101993. The next prime is 1020101102017. The reversal of 1020101102001 is 1002011010201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 719578958400 + 300522143601 = 848280^2 + 548199^2 .

It is not a de Polignac number, because 1020101102001 - 2³ = 1020101101993 is a prime.

It is a super-3 number, since 3×1020101102001³ (a number of 37 digits) contains 333 as substring.

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 (1020101102201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2143551 + ... + 2575851.

It is an arithmetic number, because the mean of its divisors is an integer number (63519213615).

Almost surely, 2^{1020101102001} is an apocalyptic number.

It is an amenable number.

1020101102001 is a deficient number, since it is larger than the sum of its proper divisors (504360024759).

1020101102001 is a wasteful number, since it uses less digits than its factorization.

1020101102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441377 (or 441374 counting only the distinct ones).

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

Adding to 1020101102001 its reverse (1002011010201), we get a palindrome (2022112112202).

The spelling of 1020101102001 in words is "one trillion, twenty billion, one hundred one million, one hundred two thousand, one".