101003120003000 has 256 divisors, whose sum is σ = 245642070960000. Its totient is φ = 38825622528000.

The previous prime is 101003120002979. The next prime is 101003120003117. The reversal of 101003120003000 is 300021300101.

It is a congruent number.

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, 23224444826 + ... + 23224449174.

Almost surely, 2^{101003120003000} is an apocalyptic number.

101003120003000 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 101003120003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122821035480000).

101003120003000 is an abundant number, since it is smaller than the sum of its proper divisors (144638950957000).

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

101003120003000 is a wasteful number, since it uses less digits than its factorization.

101003120003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7963 (or 7949 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 101003120003000 its reverse (300021300101), we get a palindrome (101303141303101).

The spelling of 101003120003000 in words is "one hundred one trillion, three billion, one hundred twenty million, three thousand".