102102210102200 has 288 divisors, whose sum is σ = 298261508270880. Its totient is φ = 31818137472000.

The previous prime is 102102210102173. The next prime is 102102210102223. The reversal of 102102210102200 is 2201012201201.

It is a super-2 number, since 2×102102210102200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 957564890 + ... + 957671510.

Almost surely, 2^{102102210102200} is an apocalyptic number.

102102210102200 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 102102210102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149130754135440).

102102210102200 is an abundant number, since it is smaller than the sum of its proper divisors (196159298168680).

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

102102210102200 is a wasteful number, since it uses less digits than its factorization.

102102210102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112319 (or 112299 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102102210102200 its reverse (2201012201201), we get a palindrome (104303222303401).

The spelling of 102102210102200 in words is "one hundred two trillion, one hundred two billion, two hundred ten million, one hundred two thousand, two hundred".