102123021000 has 1024 divisors, whose sum is σ = 442005258240. Its totient is φ = 18938880000.

The previous prime is 102123020983. The next prime is 102123021029. The reversal of 102123021000 is 120321201.

It is a super-2 number, since 2×102123021000² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 93092452 + ... + 93093548.

It is an arithmetic number, because the mean of its divisors is an integer number (431645760).

Almost surely, 2^102123021000 is an apocalyptic number.

102123021000 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 102123021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221002629120).

102123021000 is an abundant number, since it is smaller than the sum of its proper divisors (339882237240).

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

102123021000 is a wasteful number, since it uses less digits than its factorization.

102123021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102123021000 its reverse (120321201), we get a palindrome (102243342201).

The spelling of 102123021000 in words is "one hundred two billion, one hundred twenty-three million, twenty-one thousand".