101000001120021 has 32 divisors (see below), whose sum is σ = 152815292743680. Its totient is φ = 65899824907248.

The previous prime is 101000001120001. The next prime is 101000001120047. The reversal of 101000001120021 is 120021100000101.

It is a happy number.

It is not a de Polignac number, because 101000001120021 - 2¹⁰ = 101000001118997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101000001119985 and 101000001120012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000001120001) 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, 101694580 + ... + 102682946.

It is an arithmetic number, because the mean of its divisors is an integer number (4775477898240).

Almost surely, 2^{101000001120021} is an apocalyptic number.

It is an amenable number.

101000001120021 is a deficient number, since it is larger than the sum of its proper divisors (51815291623659).

101000001120021 is an equidigital number, since it uses as much as digits as its factorization.

101000001120021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068950 (or 1068944 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101000001120021 its reverse (120021100000101), we get a palindrome (221021101120122).

The spelling of 101000001120021 in words is "one hundred one trillion, one million, one hundred twenty thousand, twenty-one".