1032042121 has 16 divisors (see below), whose sum is σ = 1152460800. Its totient is φ = 916148880.

The previous prime is 1032042113. The next prime is 1032042149. The reversal of 1032042121 is 1212402301.

It is a cyclic number.

It is not a de Polignac number, because 1032042121 - 2³ = 1032042113 is a prime.

It is a super-2 number, since 2×1032042121² = 2130221879036357282, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1032042095 and 1032042104.

It is not an unprimeable number, because it can be changed into a prime (1032042191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249730 + ... + 253828.

It is an arithmetic number, because the mean of its divisors is an integer number (72028800).

Almost surely, 2^1032042121 is an apocalyptic number.

1032042121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1032042121 is a deficient number, since it is larger than the sum of its proper divisors (120418679).

1032042121 is a wasteful number, since it uses less digits than its factorization.

1032042121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4644.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1032042121 is about 32125.4123864582. The cubic root of 1032042121 is about 1010.5686178276.

Adding to 1032042121 its reverse (1212402301), we get a palindrome (2244444422).

It can be divided in two parts, 10320 and 42121, that added together give a square (52441 = 229²).

The spelling of 1032042121 in words is "one billion, thirty-two million, forty-two thousand, one hundred twenty-one".