101303121211110 has 192 divisors, whose sum is σ = 327379594389120. Its totient is φ = 21162222950400.

The previous prime is 101303121211081. The next prime is 101303121211133. The reversal of 101303121211110 is 11112121303101.

101303121211110 is a `hidden beast` number, since 1 + 0 + 1 + 30 + 312 + 1 + 211 + 110 = 666.

It is a super-2 number, since 2×101303121211110² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 60406095 + ... + 62060474.

It is an arithmetic number, because the mean of its divisors is an integer number (1705102054110).

Almost surely, 2^{101303121211110} is an apocalyptic number.

101303121211110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101303121211110 is an abundant number, since it is smaller than the sum of its proper divisors (226076473178010).

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

101303121211110 is a wasteful number, since it uses less digits than its factorization.

101303121211110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122466703 (or 122466700 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 101303121211110 its reverse (11112121303101), we get a palindrome (112415242514211).

The spelling of 101303121211110 in words is "one hundred one trillion, three hundred three billion, one hundred twenty-one million, two hundred eleven thousand, one hundred ten".