101221321103000 has 192 divisors, whose sum is σ = 291736132721280. Its totient is φ = 32663014272000.

The previous prime is 101221321102987. The next prime is 101221321103003. The reversal of 101221321103000 is 301123122101.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 101221321103000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221321103003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59924096 + ... + 61590095.

It is an arithmetic number, because the mean of its divisors is an integer number (1519459024590).

Almost surely, 2^{101221321103000} is an apocalyptic number.

101221321103000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101221321103000 is an abundant number, since it is smaller than the sum of its proper divisors (190514811618280).

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

101221321103000 is a wasteful number, since it uses less digits than its factorization.

101221321103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121514243 (or 121514222 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 101221321103000 its reverse (301123122101), we get a palindrome (101522444225101).

The spelling of 101221321103000 in words is "one hundred one trillion, two hundred twenty-one billion, three hundred twenty-one million, one hundred three thousand".