102213043143400 has 192 divisors, whose sum is σ = 280990743120000. Its totient is φ = 33832338355200.

The previous prime is 102213043143391. The next prime is 102213043143451. The reversal of 102213043143400 is 4341340312201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 383983551 + ... + 384249649.

It is an arithmetic number, because the mean of its divisors is an integer number (1463493453750).

Almost surely, 2^{102213043143400} is an apocalyptic number.

102213043143400 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 102213043143400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140495371560000).

102213043143400 is an abundant number, since it is smaller than the sum of its proper divisors (178777699976600).

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

102213043143400 is a wasteful number, since it uses less digits than its factorization.

102213043143400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275612 (or 275603 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 102213043143400 its reverse (4341340312201), we get a palindrome (106554383455601).

The spelling of 102213043143400 in words is "one hundred two trillion, two hundred thirteen billion, forty-three million, one hundred forty-three thousand, four hundred".