102201201102000 has 3840 divisors, whose sum is σ = 465119642437632. Its totient is φ = 18966528000000.

The previous prime is 102201201101971. The next prime is 102201201102053. The reversal of 102201201102000 is 201102102201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 363705341860 + ... + 363705342140.

Almost surely, 2^{102201201102000} is an apocalyptic number.

102201201102000 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 102201201102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232559821218816).

102201201102000 is an abundant number, since it is smaller than the sum of its proper divisors (362918441335632).

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

102201201102000 is a wasteful number, since it uses less digits than its factorization.

102201201102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102201201102000 its reverse (201102102201), we get a palindrome (102402303204201).

It can be divided in two parts, 102201201 and 102000, that added together give a palindrome (102303201).

The spelling of 102201201102000 in words is "one hundred two trillion, two hundred one billion, two hundred one million, one hundred two thousand".