102100121200 has 120 divisors (see below), whose sum is σ = 305823104640. Its totient is φ = 31823404800.

The previous prime is 102100121119. The next prime is 102100121209. The reversal of 102100121200 is 2121001201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100121209) 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, 1626670 + ... + 1688269.

It is an arithmetic number, because the mean of its divisors is an integer number (2548525872).

Almost surely, 2^102100121200 is an apocalyptic number.

102100121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100121200 is an abundant number, since it is smaller than the sum of its proper divisors (203722983440).

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

102100121200 is a wasteful number, since it uses less digits than its factorization.

102100121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3314975 (or 3314964 counting only the distinct ones).

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

Adding to 102100121200 its reverse (2121001201), we get a palindrome (104221122401).

The spelling of 102100121200 in words is "one hundred two billion, one hundred million, one hundred twenty-one thousand, two hundred".