101006101056 has 112 divisors (see below), whose sum is σ = 305497236096. Its totient is φ = 28851892224.

The previous prime is 101006101019. The next prime is 101006101057. The reversal of 101006101056 is 650101600101.

101006101056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (101006101057) 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, 8484100 + ... + 8495996.

Almost surely, 2^101006101056 is an apocalyptic number.

101006101056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101006101056 is an abundant number, since it is smaller than the sum of its proper divisors (204491135040).

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

101006101056 is a wasteful number, since it uses less digits than its factorization.

101006101056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18236 (or 18226 counting only the distinct ones).

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

Adding to 101006101056 its reverse (650101600101), we get a palindrome (751107701157).

The spelling of 101006101056 in words is "one hundred one billion, six million, one hundred one thousand, fifty-six".