10001000121120 has 72 divisors (see below), whose sum is σ = 34128412918236. Its totient is φ = 2666933365248.

The previous prime is 10001000121109. The next prime is 10001000121131. The reversal of 10001000121120 is 2112100010001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10001000121109) and next prime (10001000121131).

It can be written as a sum of positive squares in 2 ways, for example, as 9360148638096 + 640851483024 = 3059436^2 + 800532^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3472568047 + ... + 3472570926.

Almost surely, 2^{10001000121120} is an apocalyptic number.

10001000121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001000121120 is an abundant number, since it is smaller than the sum of its proper divisors (24127412797116).

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

10001000121120 is a wasteful number, since it uses less digits than its factorization.

10001000121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6945138994 (or 6945138983 counting only the distinct ones).

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

Adding to 10001000121120 its reverse (2112100010001), we get a palindrome (12113100131121).

The spelling of 10001000121120 in words is "ten trillion, one billion, one hundred twenty-one thousand, one hundred twenty".