102201011000 has 128 divisors (see below), whose sum is σ = 261890703360. Its totient is φ = 37021648000.

The previous prime is 102201010979. The next prime is 102201011041. The reversal of 102201011000 is 110102201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2875337 + ... + 2910663.

It is an arithmetic number, because the mean of its divisors is an integer number (2046021120).

Almost surely, 2^102201011000 is an apocalyptic number.

102201011000 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 102201011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130945351680).

102201011000 is an abundant number, since it is smaller than the sum of its proper divisors (159689692360).

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

102201011000 is a wasteful number, since it uses less digits than its factorization.

102201011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35622 (or 35608 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 102201011000 its reverse (110102201), we get a palindrome (102311113201).

The spelling of 102201011000 in words is "one hundred two billion, two hundred one million, eleven thousand".