102101210111200 has 144 divisors (see below), whose sum is σ = 250038009886896. Its totient is φ = 40712291020800.

The previous prime is 102101210111149. The next prime is 102101210111209. The reversal of 102101210111200 is 2111012101201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101210111209) 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, 380836399 + ... + 381104401.

It is an arithmetic number, because the mean of its divisors is an integer number (1736375068659).

Almost surely, 2^{102101210111200} is an apocalyptic number.

102101210111200 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 102101210111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125019004943448).

102101210111200 is an abundant number, since it is smaller than the sum of its proper divisors (147936799775696).

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

102101210111200 is a wasteful number, since it uses less digits than its factorization.

102101210111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269517 (or 269504 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102101210111200 its reverse (2111012101201), we get a palindrome (104212222212401).

The spelling of 102101210111200 in words is "one hundred two trillion, one hundred one billion, two hundred ten million, one hundred eleven thousand, two hundred".