1010121024 has 112 divisors (see below), whose sum is σ = 2928494016. Its totient is φ = 304742400.

The previous prime is 1010120989. The next prime is 1010121037. The reversal of 1010121024 is 4201210101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 541854 + ... + 543714.

It is an arithmetic number, because the mean of its divisors is an integer number (26147268).

Almost surely, 2^1010121024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010121024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464247008).

1010121024 is an abundant number, since it is smaller than the sum of its proper divisors (1918372992).

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

1010121024 is a wasteful number, since it uses less digits than its factorization.

1010121024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1010121024 is about 31782.4011679420. The cubic root of 1010121024 is about 1003.3623565541.

Adding to 1010121024 its reverse (4201210101), we get a palindrome (5211331125).

It can be divided in two parts, 10101 and 21024, that added together give a triangular number (31125 = T₂₄₉).

The spelling of 1010121024 in words is "one billion, ten million, one hundred twenty-one thousand, twenty-four".