1022101632 has 128 divisors (see below), whose sum is σ = 3051432000. Its totient is φ = 336771072.

The previous prime is 1022101627. The next prime is 1022101643. The reversal of 1022101632 is 2361012201.

1022101632 is a `hidden beast` number, since 1 + 0 + 22 + 10 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1022101632² = 2089383492274126848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305923 + ... + 309245.

Almost surely, 2^1022101632 is an apocalyptic number.

1022101632 is a gapful number since it is divisible by the number (12) 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 1022101632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525716000).

1022101632 is an abundant number, since it is smaller than the sum of its proper divisors (2029330368).

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

1022101632 is an equidigital number, since it uses as much as digits as its factorization.

1022101632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3435 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1022101632 is about 31970.3242398322. The cubic root of 1022101632 is about 1007.3135916459.

Adding to 1022101632 its reverse (2361012201), we get a palindrome (3383113833).

The spelling of 1022101632 in words is "one billion, twenty-two million, one hundred one thousand, six hundred thirty-two".