101011112010010 has 8 divisors (see below), whose sum is σ = 181820001618036. Its totient is φ = 40404444804000.

The previous prime is 101011112009981. The next prime is 101011112010071. The reversal of 101011112010010 is 10010211110101.

It can be written as a sum of positive squares in 2 ways, for example, as 92236643128081 + 8774468881929 = 9603991^2 + 2962173^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Harshad number since it is a multiple of its sum of digits (10), and also a Moran number because the ratio is a prime number: 10101111201001 = 101011112010010 / (1 + 0 + 1 + 0 + 1 + 1 + 1 + 1 + 2 + 0 + 1 + 0 + 0 + 1 + 0).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5050555600491 + ... + 5050555600510.

Almost surely, 2^{101011112010010} is an apocalyptic number.

101011112010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101011112010010 is a deficient number, since it is larger than the sum of its proper divisors (80808889608026).

101011112010010 is a wasteful number, since it uses less digits than its factorization.

101011112010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10101111201008.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101011112010010 its reverse (10010211110101), we get a palindrome (111021323120111).

It can be divided in two parts, 10101111 and 2010010, that added together give a palindrome (12111121).

The spelling of 101011112010010 in words is "one hundred one trillion, eleven billion, one hundred twelve million, ten thousand, ten".