102010133111200 has 144 divisors (see below), whose sum is σ = 257076917524224. Its totient is φ = 39486045081600.

The previous prime is 102010133111167. The next prime is 102010133111209. The reversal of 102010133111200 is 2111331010201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (102010133111209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 655063747 + ... + 655219453.

It is an arithmetic number, because the mean of its divisors is an integer number (1785256371696).

Almost surely, 2^{102010133111200} is an apocalyptic number.

102010133111200 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 102010133111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128538458762112).

102010133111200 is an abundant number, since it is smaller than the sum of its proper divisors (155066784413024).

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

102010133111200 is a wasteful number, since it uses less digits than its factorization.

102010133111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182175 (or 182162 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 102010133111200 its reverse (2111331010201), we get a palindrome (104121464121401).

The spelling of 102010133111200 in words is "one hundred two trillion, ten billion, one hundred thirty-three million, one hundred eleven thousand, two hundred".