102121110000 has 1200 divisors, whose sum is σ = 452766618304. Its totient is φ = 20901888000.

The previous prime is 102121109971. The next prime is 102121110001. The reversal of 102121110000 is 11121201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×102121110000² (a number of 23 digits) contains 22 as substring.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121110001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 303029832 + ... + 303030168.

Almost surely, 2^102121110000 is an apocalyptic number.

102121110000 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 102121110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226383309152).

102121110000 is an abundant number, since it is smaller than the sum of its proper divisors (350645508304).

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

102121110000 is a wasteful number, since it uses less digits than its factorization.

102121110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 404 counting only the distinct ones).

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

Adding to 102121110000 its reverse (11121201), we get a palindrome (102132231201).

The spelling of 102121110000 in words is "one hundred two billion, one hundred twenty-one million, one hundred ten thousand".