102400033021 has 24 divisors (see below), whose sum is σ = 123308190432. Its totient is φ = 83834044800.

The previous prime is 102400033003. The next prime is 102400033039. The reversal of 102400033021 is 120330004201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102400033003) and next prime (102400033039).

It is not a de Polignac number, because 102400033021 - 2⁵ = 102400032989 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102400032986 and 102400033004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102400033051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27390 + ... + 453376.

It is an arithmetic number, because the mean of its divisors is an integer number (5137841268).

Almost surely, 2^102400033021 is an apocalyptic number.

102400033021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102400033021 is a deficient number, since it is larger than the sum of its proper divisors (20908157411).

102400033021 is a wasteful number, since it uses less digits than its factorization.

102400033021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426093 (or 426052 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 102400033021 its reverse (120330004201), we get a palindrome (222730037222).

The spelling of 102400033021 in words is "one hundred two billion, four hundred million, thirty-three thousand, twenty-one".