101011112211020 has 384 divisors, whose sum is σ = 256676360371200. Its totient is φ = 32956600320000.

The previous prime is 101011112211011. The next prime is 101011112211029. The reversal of 101011112211020 is 20112211110101.

It is an interprime number because it is at equal distance from previous prime (101011112211011) and next prime (101011112211029).

It is a junction number, because it is equal to n+sod(n) for n = 101011112210986 and 101011112211004.

It is not an unprimeable number, because it can be changed into a prime (101011112211029) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27015540311 + ... + 27015544049.

It is an arithmetic number, because the mean of its divisors is an integer number (668428021800).

Almost surely, 2^{101011112211020} is an apocalyptic number.

101011112211020 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 101011112211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128338180185600).

101011112211020 is an abundant number, since it is smaller than the sum of its proper divisors (155665248160180).

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

101011112211020 is a wasteful number, since it uses less digits than its factorization.

101011112211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6889 (or 6887 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101011112211020 its reverse (20112211110101), we get a palindrome (121123323321121).

The spelling of 101011112211020 in words is "one hundred one trillion, eleven billion, one hundred twelve million, two hundred eleven thousand, twenty".