1001121122010 has 32 divisors (see below), whose sum is σ = 2406958390080. Its totient is φ = 266491443968.

The previous prime is 1001121121943. The next prime is 1001121122021. The reversal of 1001121122010 is 102211211001.

1001121122010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1001121122010³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29619615 + ... + 29653394.

It is an arithmetic number, because the mean of its divisors is an integer number (75217449690).

Almost surely, 2^{1001121122010} is an apocalyptic number.

1001121122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001121122010 is an abundant number, since it is smaller than the sum of its proper divisors (1405837268070).

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

1001121122010 is a wasteful number, since it uses less digits than its factorization.

1001121122010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59273582.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1001121122010 its reverse (102211211001), we get a palindrome (1103332333011).

The spelling of 1001121122010 in words is "one trillion, one billion, one hundred twenty-one million, one hundred twenty-two thousand, ten".