102011021200 has 120 divisors (see below), whose sum is σ = 269728959456. Its totient is φ = 36766464000.

The previous prime is 102011021179. The next prime is 102011021201. The reversal of 102011021200 is 2120110201.

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 (102011021201) 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, 394615 + ... + 599785.

Almost surely, 2^102011021200 is an apocalyptic number.

102011021200 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 102011021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134864479728).

102011021200 is an abundant number, since it is smaller than the sum of its proper divisors (167717938256).

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

102011021200 is a wasteful number, since it uses less digits than its factorization.

102011021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205313 (or 205302 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102011021200 its reverse (2120110201), we get a palindrome (104131131401).

The spelling of 102011021200 in words is "one hundred two billion, eleven million, twenty-one thousand, two hundred".