101213121003000 has 64 divisors (see below), whose sum is σ = 315784937538720. Its totient is φ = 26990165600000.

The previous prime is 101213121002999. The next prime is 101213121003011. The reversal of 101213121003000 is 300121312101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16868850501 + ... + 16868856500.

Almost surely, 2^{101213121003000} is an apocalyptic number.

101213121003000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101213121003000 is an abundant number, since it is smaller than the sum of its proper divisors (214571816535720).

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

101213121003000 is a wasteful number, since it uses less digits than its factorization.

101213121003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33737707025 (or 33737707011 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101213121003000 its reverse (300121312101), we get a palindrome (101513242315101).

The spelling of 101213121003000 in words is "one hundred one trillion, two hundred thirteen billion, one hundred twenty-one million, three thousand".