101112211020 has 48 divisors (see below), whose sum is σ = 290765932128. Its totient is φ = 26234519040.

The previous prime is 101112210949. The next prime is 101112211021. The reversal of 101112211020 is 20112211101.

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 = 101112210987 and 101112211005.

It is not an unprimeable number, because it can be changed into a prime (101112211021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22770801 + ... + 22775240.

It is an arithmetic number, because the mean of its divisors is an integer number (6057623586).

Almost surely, 2^101112211020 is an apocalyptic number.

101112211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112211020 is an abundant number, since it is smaller than the sum of its proper divisors (189653721108).

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

101112211020 is a wasteful number, since it uses less digits than its factorization.

101112211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45546090 (or 45546088 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101112211020 its reverse (20112211101), we get a palindrome (121224422121).

The spelling of 101112211020 in words is "one hundred one billion, one hundred twelve million, two hundred eleven thousand, twenty".