101200022010 has 96 divisors (see below), whose sum is σ = 270339527952. Its totient is φ = 26246799360.

The previous prime is 101200022003. The next prime is 101200022017. The reversal of 101200022010 is 10220002101.

It is an interprime number because it is at equal distance from previous prime (101200022003) and next prime (101200022017).

It can be written as a sum of positive squares in 8 ways, for example, as 64489078809 + 36710943201 = 253947^2 + 191601^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101200021983 and 101200022001.

It is not an unprimeable number, because it can be changed into a prime (101200022017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11707290 + ... + 11715930.

Almost surely, 2^101200022010 is an apocalyptic number.

101200022010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101200022010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135169763976).

101200022010 is an abundant number, since it is smaller than the sum of its proper divisors (169139505942).

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

101200022010 is a wasteful number, since it uses less digits than its factorization.

101200022010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12208 (or 12205 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101200022010 its reverse (10220002101), we get a palindrome (111420024111).

The spelling of 101200022010 in words is "one hundred one billion, two hundred million, twenty-two thousand, ten".