101120021101110 has 256 divisors, whose sum is σ = 276707763118080. Its totient is φ = 23410278312960.

The previous prime is 101120021101109. The next prime is 101120021101159. The reversal of 101120021101110 is 11101120021101.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13961065149 + ... + 13961072391.

It is an arithmetic number, because the mean of its divisors is an integer number (1080889699680).

Almost surely, 2^{101120021101110} is an apocalyptic number.

101120021101110 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 101120021101110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138353881559040).

101120021101110 is an abundant number, since it is smaller than the sum of its proper divisors (175587742016970).

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

101120021101110 is a wasteful number, since it uses less digits than its factorization.

101120021101110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10003.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101120021101110 its reverse (11101120021101), we get a palindrome (112221141122211).

The spelling of 101120021101110 in words is "one hundred one trillion, one hundred twenty billion, twenty-one million, one hundred one thousand, one hundred ten".