101141021040311 has 32 divisors (see below), whose sum is σ = 118676375225856. Its totient is φ = 84410326800000.

The previous prime is 101141021040287. The next prime is 101141021040331. The reversal of 101141021040311 is 113040120141101.

It is a cyclic number.

It is not a de Polignac number, because 101141021040311 - 2³⁸ = 100866143133367 is a prime.

It is a super-2 number, since 2×101141021040311² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101141021040331) 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, 14575121 + ... + 20364581.

It is an arithmetic number, because the mean of its divisors is an integer number (3708636725808).

Almost surely, 2^{101141021040311} is an apocalyptic number.

101141021040311 is a deficient number, since it is larger than the sum of its proper divisors (17535354185545).

101141021040311 is a wasteful number, since it uses less digits than its factorization.

101141021040311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5789943.

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 101141021040311 its reverse (113040120141101), we get a palindrome (214181141181412).

The spelling of 101141021040311 in words is "one hundred one trillion, one hundred forty-one billion, twenty-one million, forty thousand, three hundred eleven".