1001121000010 has 8 divisors (see below), whose sum is σ = 1802017800036. Its totient is φ = 400448400000.

The previous prime is 1001120999987. The next prime is 1001121000029. The reversal of 1001121000010 is 100001211001.

1001121000010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 816292373121 + 184828626889 = 903489^2 + 429917^2 .

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

It is a super-2 number, since 2×1001121000010² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001120999957 and 1001121000002.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50056049991 + ... + 50056050010.

Almost surely, 2^{1001121000010} is an apocalyptic number.

1001121000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001121000010 is a deficient number, since it is larger than the sum of its proper divisors (800896800026).

1001121000010 is a wasteful number, since it uses less digits than its factorization.

1001121000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100112100008.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1001121000010 its reverse (100001211001), we get a palindrome (1101122211011).

The spelling of 1001121000010 in words is "one trillion, one billion, one hundred twenty-one million, ten", and thus it is an aban number.