102201120021000 has 1024 divisors, whose sum is σ = 439701336023040. Its totient is φ = 19073180160000.

The previous prime is 102201120020981. The next prime is 102201120021023. The reversal of 102201120021000 is 120021102201.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 110651095 + ... + 111570905.

It is an arithmetic number, because the mean of its divisors is an integer number (429395835960).

Almost surely, 2^{102201120021000} is an apocalyptic number.

102201120021000 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 102201120021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219850668011520).

102201120021000 is an abundant number, since it is smaller than the sum of its proper divisors (337500216002040).

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

102201120021000 is a wasteful number, since it uses less digits than its factorization.

102201120021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919903 (or 919889 counting only the distinct ones).

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

Adding to 102201120021000 its reverse (120021102201), we get a palindrome (102321141123201).

It can be divided in two parts, 102 and 201120021000, that added together give a palindrome (201120021102).

The spelling of 102201120021000 in words is "one hundred two trillion, two hundred one billion, one hundred twenty million, twenty-one thousand".