102400134213210 has 64 divisors (see below), whose sum is σ = 253775953649664. Its totient is φ = 26416687003200.

The previous prime is 102400134213193. The next prime is 102400134213211. The reversal of 102400134213210 is 12312431004201.

It is not an unprimeable number, because it can be changed into a prime (102400134213211) 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, 16384656 + ... + 21754475.

It is an arithmetic number, because the mean of its divisors is an integer number (3965249275776).

Almost surely, 2^{102400134213210} is an apocalyptic number.

102400134213210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102400134213210 is an abundant number, since it is smaller than the sum of its proper divisors (151375819436454).

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

102400134213210 is a wasteful number, since it uses less digits than its factorization.

102400134213210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38142059.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 102400134213210 its reverse (12312431004201), we get a palindrome (114712565217411).

The spelling of 102400134213210 in words is "one hundred two trillion, four hundred billion, one hundred thirty-four million, two hundred thirteen thousand, two hundred ten".