102001011011200 has 192 divisors, whose sum is σ = 287980263529920. Its totient is φ = 34970615193600.

The previous prime is 102001011011197. The next prime is 102001011011203. The reversal of 102001011011200 is 2110110100201.

It is an interprime number because it is at equal distance from previous prime (102001011011197) and next prime (102001011011203).

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 (102001011011203) 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, 932031684 + ... + 932141116.

It is an arithmetic number, because the mean of its divisors is an integer number (1499897205885).

Almost surely, 2^{102001011011200} is an apocalyptic number.

102001011011200 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 102001011011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143990131764960).

102001011011200 is an abundant number, since it is smaller than the sum of its proper divisors (185979252518720).

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

102001011011200 is a wasteful number, since it uses less digits than its factorization.

102001011011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151075 (or 151058 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102001011011200 its reverse (2110110100201), we get a palindrome (104111121111401).

The spelling of 102001011011200 in words is "one hundred two trillion, one billion, eleven million, eleven thousand, two hundred".