101101110021120 has 352 divisors, whose sum is σ = 358027603958016. Its totient is φ = 24143545958400.

The previous prime is 101101110021101. The next prime is 101101110021133. The reversal of 101101110021120 is 21120011101101.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×101101110021120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101101110021096 and 101101110021105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6854850 + ... + 15785790.

Almost surely, 2^{101101110021120} is an apocalyptic number.

101101110021120 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 101101110021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179013801979008).

101101110021120 is an abundant number, since it is smaller than the sum of its proper divisors (256926493936896).

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

101101110021120 is a wasteful number, since it uses less digits than its factorization.

101101110021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8931047 (or 8931029 counting only the distinct ones).

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

Adding to 101101110021120 its reverse (21120011101101), we get a palindrome (122221121122221).

The spelling of 101101110021120 in words is "one hundred one trillion, one hundred one billion, one hundred ten million, twenty-one thousand, one hundred twenty".