101002221111120 has 320 divisors, whose sum is σ = 368424264623616. Its totient is φ = 22406248857600.

The previous prime is 101002221111119. The next prime is 101002221111139. The reversal of 101002221111120 is 21111122200101.

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 101002221111120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22900132 + ... + 26952188.

Almost surely, 2^{101002221111120} is an apocalyptic number.

101002221111120 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 101002221111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184212132311808).

101002221111120 is an abundant number, since it is smaller than the sum of its proper divisors (267422043512496).

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

101002221111120 is a wasteful number, since it uses less digits than its factorization.

101002221111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4052518 (or 4052512 counting only the distinct ones).

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

Adding to 101002221111120 its reverse (21111122200101), we get a palindrome (122113343311221).

It can be divided in two parts, 101002 and 221111120, that added together give a palindrome (221212122).

The spelling of 101002221111120 in words is "one hundred one trillion, two billion, two hundred twenty-one million, one hundred eleven thousand, one hundred twenty".