110102121000 has 384 divisors, whose sum is σ = 384259599360. Its totient is φ = 28413504000.

The previous prime is 110102120981. The next prime is 110102121011. The reversal of 110102121000 is 121201011.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70262217 + ... + 70263783.

It is an arithmetic number, because the mean of its divisors is an integer number (1000676040).

Almost surely, 2^110102121000 is an apocalyptic number.

110102121000 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 110102121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192129799680).

110102121000 is an abundant number, since it is smaller than the sum of its proper divisors (274157478360).

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

110102121000 is a wasteful number, since it uses less digits than its factorization.

110102121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842 (or 1825 counting only the distinct ones).

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

Adding to 110102121000 its reverse (121201011), we get a palindrome (110223322011).

The spelling of 110102121000 in words is "one hundred ten billion, one hundred two million, one hundred twenty-one thousand".