1001121141020 has 192 divisors, whose sum is σ = 2829196339200. Its totient is φ = 287376215040.

The previous prime is 1001121141017. The next prime is 1001121141073. The reversal of 1001121141020 is 201411211001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1001121140986 and 1001121141004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8731826 + ... + 8845734.

It is an arithmetic number, because the mean of its divisors is an integer number (14735397600).

Almost surely, 2^{1001121141020} is an apocalyptic number.

1001121141020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001121141020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414598169600).

1001121141020 is an abundant number, since it is smaller than the sum of its proper divisors (1828075198180).

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

1001121141020 is a wasteful number, since it uses less digits than its factorization.

1001121141020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114388 (or 114386 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1001121141020 its reverse (201411211001), we get a palindrome (1202532352021).

The spelling of 1001121141020 in words is "one trillion, one billion, one hundred twenty-one million, one hundred forty-one thousand, twenty".