101011000103331 has 32 divisors (see below), whose sum is σ = 137831776896000. Its totient is φ = 65780068608288.

The previous prime is 101011000103311. The next prime is 101011000103353. The reversal of 101011000103331 is 133301000110101.

It is not a de Polignac number, because 101011000103331 - 2⁷ = 101011000103203 is a prime.

It is a super-2 number, since 2×101011000103331² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101011000103331.

It is not an unprimeable number, because it can be changed into a prime (101011000103311) 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, 145611180 + ... + 146303238.

It is an arithmetic number, because the mean of its divisors is an integer number (4307243028000).

Almost surely, 2^{101011000103331} is an apocalyptic number.

101011000103331 is a deficient number, since it is larger than the sum of its proper divisors (36820776792669).

101011000103331 is a wasteful number, since it uses less digits than its factorization.

101011000103331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697343.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 101011000103331 its reverse (133301000110101), we get a palindrome (234312000213432).

The spelling of 101011000103331 in words is "one hundred one trillion, eleven billion, one hundred three thousand, three hundred thirty-one".