1021010021101 has 16 divisors (see below), whose sum is σ = 1187898912000. Its totient is φ = 859510700928.

The previous prime is 1021010021069. The next prime is 1021010021107. The reversal of 1021010021101 is 1011200101201.

It is a cyclic number.

It is not a de Polignac number, because 1021010021101 - 2⁵ = 1021010021069 is a prime.

It is a super-2 number, since 2×1021010021101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021010021107) 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 15 ways as a sum of consecutive naturals, for example, 5406705 + ... + 5592358.

It is an arithmetic number, because the mean of its divisors is an integer number (74243682000).

Almost surely, 2^{1021010021101} is an apocalyptic number.

It is an amenable number.

1021010021101 is a deficient number, since it is larger than the sum of its proper divisors (166888890899).

1021010021101 is a wasteful number, since it uses less digits than its factorization.

1021010021101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10999308.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1021010021101 its reverse (1011200101201), we get a palindrome (2032210122302).

The spelling of 1021010021101 in words is "one trillion, twenty-one billion, ten million, twenty-one thousand, one hundred one".