1001010121120 has 48 divisors (see below), whose sum is σ = 2365134153480. Its totient is φ = 400362102784.

The previous prime is 1001010121103. The next prime is 1001010121129. The reversal of 1001010121120 is 211210101001.

It can be written as a sum of positive squares in 4 ways, for example, as 900168307984 + 100841813136 = 948772^2 + 317556^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1001010121097 and 1001010121106.

It is not an unprimeable number, because it can be changed into a prime (1001010121129) 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, 1227384 + ... + 1873096.

Almost surely, 2^{1001010121120} is an apocalyptic number.

1001010121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001010121120 is an abundant number, since it is smaller than the sum of its proper divisors (1364124032360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001010121120 is an equidigital number, since it uses as much as digits as its factorization.

1001010121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655417 (or 655409 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1001010121120 its reverse (211210101001), we get a palindrome (1212220222121).

The spelling of 1001010121120 in words is "one trillion, one billion, ten million, one hundred twenty-one thousand, one hundred twenty".