101011620 has 96 divisors (see below), whose sum is σ = 301771008. Its totient is φ = 25157632.

The previous prime is 101011571. The next prime is 101011621. The reversal of 101011620 is 26110101.

It is a happy number.

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 = 101011596 and 101011605.

It is not an unprimeable number, because it can be changed into a prime (101011621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170044 + ... + 170636.

It is an arithmetic number, because the mean of its divisors is an integer number (3143448).

Almost surely, 2^101011620 is an apocalyptic number.

101011620 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 101011620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150885504).

101011620 is an abundant number, since it is smaller than the sum of its proper divisors (200759388).

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

101011620 is a wasteful number, since it uses less digits than its factorization.

101011620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 787 counting only the distinct ones).

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

The square root of 101011620 is about 10050.4537211014. The cubic root of 101011620 is about 465.7188096501.

Adding to 101011620 its reverse (26110101), we get a palindrome (127121721).

The spelling of 101011620 in words is "one hundred one million, eleven thousand, six hundred twenty".