102123101333040 has 160 divisors (see below), whose sum is σ = 333488676787200. Its totient is φ = 25780562472960.

The previous prime is 102123101333023. The next prime is 102123101333053. The reversal of 102123101333040 is 40333101321201.

It is a super-3 number, since 3×102123101333040³ (a number of 43 digits) contains 333 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 102123101333040.

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, 2021400 + ... + 14433719.

It is an arithmetic number, because the mean of its divisors is an integer number (2084304229920).

Almost surely, 2^{102123101333040} is an apocalyptic number.

102123101333040 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 102123101333040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166744338393600).

102123101333040 is an abundant number, since it is smaller than the sum of its proper divisors (231365575454160).

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

102123101333040 is a wasteful number, since it uses less digits than its factorization.

102123101333040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16456515 (or 16456509 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 102123101333040 its reverse (40333101321201), we get a palindrome (142456202654241).

The spelling of 102123101333040 in words is "one hundred two trillion, one hundred twenty-three billion, one hundred one million, three hundred thirty-three thousand, forty".