101011106052 has 84 divisors (see below), whose sum is σ = 274172207820. Its totient is φ = 32509294272.

The previous prime is 101011106051. The next prime is 101011106089. The reversal of 101011106052 is 250601110101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 25136199936 + 75874906116 = 158544^2 + 275454^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101011106051) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 512683 + ... + 681810.

It is an arithmetic number, because the mean of its divisors is an integer number (3263954855).

Almost surely, 2^101011106052 is an apocalyptic number.

101011106052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101011106052 is an abundant number, since it is smaller than the sum of its proper divisors (173161101768).

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

101011106052 is a wasteful number, since it uses less digits than its factorization.

101011106052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194544 (or 1194527 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

Adding to 101011106052 its reverse (250601110101), we get a palindrome (351612216153).

The spelling of 101011106052 in words is "one hundred one billion, eleven million, one hundred six thousand, fifty-two".