10101677811837 has 16 divisors (see below), whose sum is σ = 13540569710592. Its totient is φ = 6698624874480.

The previous prime is 10101677811833. The next prime is 10101677811857. The reversal of 10101677811837 is 73811877610101.

It is not a de Polignac number, because 10101677811837 - 2² = 10101677811833 is a prime.

It is a super-2 number, since 2×10101677811837² (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 10101677811837.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101677811833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6069708 + ... + 7552794.

It is an arithmetic number, because the mean of its divisors is an integer number (846285606912).

Almost surely, 2^{10101677811837} is an apocalyptic number.

It is an amenable number.

10101677811837 is a deficient number, since it is larger than the sum of its proper divisors (3438891898755).

10101677811837 is a wasteful number, since it uses less digits than its factorization.

10101677811837 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495168.

The product of its (nonzero) digits is 395136, while the sum is 51.

The spelling of 10101677811837 in words is "ten trillion, one hundred one billion, six hundred seventy-seven million, eight hundred eleven thousand, eight hundred thirty-seven".