10101101023131 has 8 divisors (see below), whose sum is σ = 13473147039744. Its totient is φ = 6731561177640.

The previous prime is 10101101023109. The next prime is 10101101023171. The reversal of 10101101023131 is 13132010110101.

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

It is not a de Polignac number, because 10101101023131 - 2⁵ = 10101101023099 is a prime.

It is a super-2 number, since 2×10101101023131² (a number of 27 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 10101101023131.

It is not an unprimeable number, because it can be changed into a prime (10101101023171) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 626533375 + ... + 626549496.

It is an arithmetic number, because the mean of its divisors is an integer number (1684143379968).

Almost surely, 2^{10101101023131} is an apocalyptic number.

10101101023131 is a deficient number, since it is larger than the sum of its proper divisors (3372046016613).

10101101023131 is a wasteful number, since it uses less digits than its factorization.

10101101023131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253085561.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 10101101023131 its reverse (13132010110101), we get a palindrome (23233111133232).

The spelling of 10101101023131 in words is "ten trillion, one hundred one billion, one hundred one million, twenty-three thousand, one hundred thirty-one".