1011121121010 has 512 divisors, whose sum is σ = 3426943500288. Its totient is φ = 184032414720.

The previous prime is 1011121121009. The next prime is 1011121121011. The reversal of 1011121121010 is 101211211101.

It is an interprime number because it is at equal distance from previous prime (1011121121009) and next prime (1011121121011).

It is not an unprimeable number, because it can be changed into a prime (1011121121011) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 87711867 + ... + 87723393.

It is an arithmetic number, because the mean of its divisors is an integer number (6693249024).

Almost surely, 2^{1011121121010} is an apocalyptic number.

1011121121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011121121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713471750144).

1011121121010 is an abundant number, since it is smaller than the sum of its proper divisors (2415822379278).

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

1011121121010 is a wasteful number, since it uses less digits than its factorization.

1011121121010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11718.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1011121121010 its reverse (101211211101), we get a palindrome (1112332332111).

Subtracting from 1011121121010 its reverse (101211211101), we obtain a palindrome (909909909909).

The spelling of 1011121121010 in words is "one trillion, eleven billion, one hundred twenty-one million, one hundred twenty-one thousand, ten".