101221120110000 has 200 divisors, whose sum is σ = 356460297741504. Its totient is φ = 24538453280000.

The previous prime is 101221120109999. The next prime is 101221120110041. The reversal of 101221120110000 is 11021122101.

101221120110000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

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 39 ways as a sum of consecutive naturals, for example, 153035334 + ... + 153695333.

Almost surely, 2^{101221120110000} is an apocalyptic number.

101221120110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101221120110000 is an abundant number, since it is smaller than the sum of its proper divisors (255239177631504).

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

101221120110000 is a wasteful number, since it uses less digits than its factorization.

101221120110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306730709 (or 306730688 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101221120110000 its reverse (11021122101), we get a palindrome (101232141232101).

The spelling of 101221120110000 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred twenty million, one hundred ten thousand".