101110011011020 has 192 divisors, whose sum is σ = 241558959882240. Its totient is φ = 35216574508800.

The previous prime is 101110011010999. The next prime is 101110011011057. The reversal of 101110011011020 is 20110110011101.

It is a super-2 number, since 2×101110011011020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101110011010988 and 101110011011006.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1319884039 + ... + 1319960641.

It is an arithmetic number, because the mean of its divisors is an integer number (1258119582720).

Almost surely, 2^{101110011011020} is an apocalyptic number.

101110011011020 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 101110011011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120779479941120).

101110011011020 is an abundant number, since it is smaller than the sum of its proper divisors (140448948871220).

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

101110011011020 is a wasteful number, since it uses less digits than its factorization.

101110011011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78636 (or 78634 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101110011011020 its reverse (20110110011101), we get a palindrome (121220121022121).

The spelling of 101110011011020 in words is "one hundred one trillion, one hundred ten billion, eleven million, eleven thousand, twenty".