101021101200010 has 32 divisors (see below), whose sum is σ = 185674380127632. Its totient is φ = 39563988480000.

The previous prime is 101021101200007. The next prime is 101021101200011. The reversal of 101021101200010 is 10002101120101.

It can be written as a sum of positive squares in 8 ways, for example, as 23762222371801 + 77258878828209 = 4874651^2 + 8789703^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 101021101200010.

It is not an unprimeable number, because it can be changed into a prime (101021101200011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 504954991 + ... + 505155010.

Almost surely, 2^{101021101200010} is an apocalyptic number.

101021101200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101021101200010 is a deficient number, since it is larger than the sum of its proper divisors (84653278927622).

101021101200010 is a wasteful number, since it uses less digits than its factorization.

101021101200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010110218.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101021101200010 its reverse (10002101120101), we get a palindrome (111023202320111).

The spelling of 101021101200010 in words is "one hundred one trillion, twenty-one billion, one hundred one million, two hundred thousand, ten".