101001000110021 has 4 divisors (see below), whose sum is σ = 110182909210944. Its totient is φ = 91819091009100.

The previous prime is 101001000109957. The next prime is 101001000110039. The reversal of 101001000110021 is 120011000100101.

It is a happy number.

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 101001000110021 - 2⁶ = 101001000109957 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101001000109990 and 101001000110008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001000118021) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4590954550445 + ... + 4590954550466.

It is an arithmetic number, because the mean of its divisors is an integer number (27545727302736).

Almost surely, 2^{101001000110021} is an apocalyptic number.

101001000110021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101001000110021 is a deficient number, since it is larger than the sum of its proper divisors (9181909100923).

101001000110021 is an equidigital number, since it uses as much as digits as its factorization.

101001000110021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9181909100922.

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

Adding to 101001000110021 its reverse (120011000100101), we get a palindrome (221012000210122).

The spelling of 101001000110021 in words is "one hundred one trillion, one billion, one hundred ten thousand, twenty-one".