102011111001100 has 1152 divisors, whose sum is σ = 289416076185600. Its totient is φ = 30397228646400.

The previous prime is 102011111001067. The next prime is 102011111001103. The reversal of 102011111001100 is 1100111110201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (102011111001103) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 262239359706 + ... + 262239360094.

It is an arithmetic number, because the mean of its divisors is an integer number (251229232800).

Almost surely, 2^{102011111001100} is an apocalyptic number.

102011111001100 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 102011111001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144708038092800).

102011111001100 is an abundant number, since it is smaller than the sum of its proper divisors (187404965184500).

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

102011111001100 is a wasteful number, since it uses less digits than its factorization.

102011111001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 102011111001100 its reverse (1100111110201), we get a palindrome (103111222111301).

The spelling of 102011111001100 in words is "one hundred two trillion, eleven billion, one hundred eleven million, one thousand, one hundred".