102101121000 has 256 divisors, whose sum is σ = 354553804800. Its totient is φ = 27180576000.

The previous prime is 102101120993. The next prime is 102101121011. The reversal of 102101121000 is 121101201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 63 ways as a sum of consecutive naturals, for example, 17628105 + ... + 17633895.

It is an arithmetic number, because the mean of its divisors is an integer number (1384975800).

Almost surely, 2^102101121000 is an apocalyptic number.

102101121000 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 102101121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177276902400).

102101121000 is an abundant number, since it is smaller than the sum of its proper divisors (252452683800).

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

102101121000 is a wasteful number, since it uses less digits than its factorization.

102101121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6474 (or 6454 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102101121000 its reverse (121101201), we get a palindrome (102222222201).

The spelling of 102101121000 in words is "one hundred two billion, one hundred one million, one hundred twenty-one thousand".