1001012121021 has 32 divisors (see below), whose sum is σ = 1491649520256. Its totient is φ = 591829760000.

The previous prime is 1001012120981. The next prime is 1001012121029. The reversal of 1001012121021 is 1201212101001.

It is a cyclic number.

It is not a de Polignac number, because 1001012121021 - 2¹³ = 1001012112829 is a prime.

It is a super-2 number, since 2×1001012121021² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001012120988 and 1001012121006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001012121029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24275221 + ... + 24316421.

It is an arithmetic number, because the mean of its divisors is an integer number (46614047508).

Almost surely, 2^{1001012121021} is an apocalyptic number.

1001012121021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001012121021 is a deficient number, since it is larger than the sum of its proper divisors (490637399235).

1001012121021 is a wasteful number, since it uses less digits than its factorization.

1001012121021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59213.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1001012121021 its reverse (1201212101001), we get a palindrome (2202224222022).

The spelling of 1001012121021 in words is "one trillion, one billion, twelve million, one hundred twenty-one thousand, twenty-one".