102004222232040 has 128 divisors (see below), whose sum is σ = 308997675417600. Its totient is φ = 26935815778560.

The previous prime is 102004222231969. The next prime is 102004222232089. The reversal of 102004222232040 is 40232222400201.

It is a super-2 number, since 2×102004222232040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 102004222232040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290667801 + ... + 291018519.

It is an arithmetic number, because the mean of its divisors is an integer number (2414044339200).

Almost surely, 2^{102004222232040} is an apocalyptic number.

102004222232040 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 102004222232040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154498837708800).

102004222232040 is an abundant number, since it is smaller than the sum of its proper divisors (206993453185560).

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

102004222232040 is a wasteful number, since it uses less digits than its factorization.

102004222232040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374367 (or 374363 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 102004222232040 its reverse (40232222400201), we get a palindrome (142236444632241).

The spelling of 102004222232040 in words is "one hundred two trillion, four billion, two hundred twenty-two million, two hundred thirty-two thousand, forty".