101056100106 has 16 divisors (see below), whose sum is σ = 217659292704. Its totient is φ = 31094184624.

The previous prime is 101056100087. The next prime is 101056100137. The reversal of 101056100106 is 601001650101.

It is a super-3 number, since 3×101056100106³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 647795436 + ... + 647795591.

It is an arithmetic number, because the mean of its divisors is an integer number (13603705794).

Almost surely, 2^101056100106 is an apocalyptic number.

101056100106 is an abundant number, since it is smaller than the sum of its proper divisors (116603192598).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101056100106 is a wasteful number, since it uses less digits than its factorization.

101056100106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295591045.

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 101056100106 its reverse (601001650101), we get a palindrome (702057750207).

The spelling of 101056100106 in words is "one hundred one billion, fifty-six million, one hundred thousand, one hundred six".