1001022100121 has 8 divisors (see below), whose sum is σ = 1004153704200. Its totient is φ = 997895134080.

The previous prime is 1001022100109. The next prime is 1001022100123. The reversal of 1001022100121 is 1210012201001.

It can be written as a sum of positive squares in 4 ways, for example, as 14554009600 + 986468090521 = 120640^2 + 993211^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1001022100121 - 2¹⁰ = 1001022099097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001022100123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 726926 + ... + 1590743.

It is an arithmetic number, because the mean of its divisors is an integer number (125519213025).

Almost surely, 2^{1001022100121} is an apocalyptic number.

It is an amenable number.

1001022100121 is a deficient number, since it is larger than the sum of its proper divisors (3131604079).

1001022100121 is an equidigital number, since it uses as much as digits as its factorization.

1001022100121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2319019.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1001022100121 its reverse (1210012201001), we get a palindrome (2211034301122).

The spelling of 1001022100121 in words is "one trillion, one billion, twenty-two million, one hundred thousand, one hundred twenty-one".