102114070411200 has 336 divisors, whose sum is σ = 343257230964480. Its totient is φ = 26561092608000.

The previous prime is 102114070411109. The next prime is 102114070411207. The reversal of 102114070411200 is 2114070411201.

It is a happy number.

It is a super-2 number, since 2×102114070411200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102114070411207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1068773031 + ... + 1068868569.

It is an arithmetic number, because the mean of its divisors is an integer number (1021598901680).

Almost surely, 2^{102114070411200} is an apocalyptic number.

102114070411200 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 102114070411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171628615482240).

102114070411200 is an abundant number, since it is smaller than the sum of its proper divisors (241143160553280).

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

102114070411200 is a wasteful number, since it uses less digits than its factorization.

102114070411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101036 (or 101021 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

Subtracting from 102114070411200 its reverse (2114070411201), we obtain a palindrome (99999999999999).

The spelling of 102114070411200 in words is "one hundred two trillion, one hundred fourteen billion, seventy million, four hundred eleven thousand, two hundred".