1021010101001 has 16 divisors (see below), whose sum is σ = 1125436156416. Its totient is φ = 918528000000.

The previous prime is 1021010100973. The next prime is 1021010101009. The reversal of 1021010101001 is 1001010101201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1021010101001 - 2³⁸ = 746132194057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1021010101001.

It is not an unprimeable number, because it can be changed into a prime (1021010101009) 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, 1932041 + ... + 2403081.

It is an arithmetic number, because the mean of its divisors is an integer number (70339759776).

Almost surely, 2^{1021010101001} is an apocalyptic number.

1021010101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1021010101001 is a deficient number, since it is larger than the sum of its proper divisors (104426055415).

1021010101001 is a wasteful number, since it uses less digits than its factorization.

1021010101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473104.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1021010101001 its reverse (1001010101201), we get a palindrome (2022020202202).

The spelling of 1021010101001 in words is "one trillion, twenty-one billion, ten million, one hundred one thousand, one".