102124201404033 has 32 divisors (see below), whose sum is σ = 152223441868800. Its totient is φ = 67665468560400.

The previous prime is 102124201404011. The next prime is 102124201404079. The reversal of 102124201404033 is 330404102421201.

102124201404033 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 24 + 201 + 404 + 0 + 33 = 666.

It is not a de Polignac number, because 102124201404033 - 2⁶ = 102124201403969 is a prime.

It is a super-2 number, since 2×102124201404033² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 102124201403988 and 102124201404006.

It is not an unprimeable number, because it can be changed into a prime (102124201804033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3078988 + ... + 14619458.

It is an arithmetic number, because the mean of its divisors is an integer number (4756982558400).

Almost surely, 2^{102124201404033} is an apocalyptic number.

It is an amenable number.

102124201404033 is a deficient number, since it is larger than the sum of its proper divisors (50099240464767).

102124201404033 is a wasteful number, since it uses less digits than its factorization.

102124201404033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11542490 (or 11542484 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 102124201404033 its reverse (330404102421201), we get a palindrome (432528303825234).

The spelling of 102124201404033 in words is "one hundred two trillion, one hundred twenty-four billion, two hundred one million, four hundred four thousand, thirty-three".