101121010021001 has 4 divisors (see below), whose sum is σ = 105517575674112. Its totient is φ = 96724444367892.

The previous prime is 101121010020977. The next prime is 101121010021049. The reversal of 101121010021001 is 100120010121101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101121010021001 - 2¹⁴ = 101121010004617 is a prime.

It is a super-2 number, since 2×101121010021001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101121010021081) 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 3 ways as a sum of consecutive naturals, for example, 2198282826521 + ... + 2198282826566.

It is an arithmetic number, because the mean of its divisors is an integer number (26379393918528).

Almost surely, 2^{101121010021001} is an apocalyptic number.

It is an amenable number.

101121010021001 is a deficient number, since it is larger than the sum of its proper divisors (4396565653111).

101121010021001 is an equidigital number, since it uses as much as digits as its factorization.

101121010021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4396565653110.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101121010021001 its reverse (100120010121101), we get a palindrome (201241020142102).

The spelling of 101121010021001 in words is "one hundred one trillion, one hundred twenty-one billion, ten million, twenty-one thousand, one".