1000101221001 has 16 divisors (see below), whose sum is σ = 1513155513600. Its totient is φ = 652548313584.

The previous prime is 1000101220969. The next prime is 1000101221039. The reversal of 1000101221001 is 1001221010001.

It is a happy number.

1000101221001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1000101221001 - 2⁵ = 1000101220969 is a prime.

It is a super-3 number, since 3×1000101221001³ (a number of 37 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1000101221401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394049646 + ... + 394052183.

It is an arithmetic number, because the mean of its divisors is an integer number (94572219600).

Almost surely, 2^{1000101221001} is an apocalyptic number.

It is an amenable number.

1000101221001 is a deficient number, since it is larger than the sum of its proper divisors (513054292599).

1000101221001 is an equidigital number, since it uses as much as digits as its factorization.

1000101221001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788101885 (or 788101879 counting only the distinct ones).

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

Adding to 1000101221001 its reverse (1001221010001), we get a palindrome (2001322231002).

The spelling of 1000101221001 in words is "one trillion, one hundred one million, two hundred twenty-one thousand, one".