101221202101110 has 192 divisors, whose sum is σ = 304736276404224. Its totient is φ = 21328120800000.

The previous prime is 101221202101093. The next prime is 101221202101157. The reversal of 101221202101110 is 11101202122101.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 101221202101110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10825135 + ... + 17878085.

It is an arithmetic number, because the mean of its divisors is an integer number (1587168106272).

Almost surely, 2^{101221202101110} is an apocalyptic number.

101221202101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101221202101110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152368138202112).

101221202101110 is an abundant number, since it is smaller than the sum of its proper divisors (203515074303114).

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

101221202101110 is a wasteful number, since it uses less digits than its factorization.

101221202101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7053739 (or 7053732 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101221202101110 its reverse (11101202122101), we get a palindrome (112322404223211).

The spelling of 101221202101110 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred two million, one hundred one thousand, one hundred ten".