103214001000 has 256 divisors, whose sum is σ = 352383333120. Its totient is φ = 24944640000.

The previous prime is 103214000921. The next prime is 103214001029. The reversal of 103214001000 is 100412301.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 11116360 + ... + 11125640.

It is an arithmetic number, because the mean of its divisors is an integer number (1376497395).

Almost surely, 2^103214001000 is an apocalyptic number.

103214001000 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 103214001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176191666560).

103214001000 is an abundant number, since it is smaller than the sum of its proper divisors (249169332120).

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

103214001000 is a wasteful number, since it uses less digits than its factorization.

103214001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9653 (or 9639 counting only the distinct ones).

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

Adding to 103214001000 its reverse (100412301), we get a palindrome (103314413301).

The spelling of 103214001000 in words is "one hundred three billion, two hundred fourteen million, one thousand".