102011101011200 has 216 divisors, whose sum is σ = 261236713946880. Its totient is φ = 39391865856000.

The previous prime is 102011101011181. The next prime is 102011101011241. The reversal of 102011101011200 is 2110101110201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1475671037 + ... + 1475740163.

Almost surely, 2^{102011101011200} is an apocalyptic number.

102011101011200 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 102011101011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130618356973440).

102011101011200 is an abundant number, since it is smaller than the sum of its proper divisors (159225612935680).

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

102011101011200 is an equidigital number, since it uses as much as digits as its factorization.

102011101011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77133 (or 77114 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 102011101011200 its reverse (2110101110201), we get a palindrome (104121202121401).

Subtracting from 102011101011200 its reverse (2110101110201), we obtain a palindrome (99900999900999).

The spelling of 102011101011200 in words is "one hundred two trillion, eleven billion, one hundred one million, eleven thousand, two hundred".