101051625556 has 96 divisors (see below), whose sum is σ = 215276140800. Its totient is φ = 40657167360.

The previous prime is 101051625553. The next prime is 101051625583. The reversal of 101051625556 is 655526150101.

It is a super-2 number, since 2×101051625556² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101051625553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78273271 + ... + 78274561.

It is an arithmetic number, because the mean of its divisors is an integer number (2242459800).

Almost surely, 2^101051625556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101051625556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107638070400).

101051625556 is an abundant number, since it is smaller than the sum of its proper divisors (114224515244).

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

101051625556 is a wasteful number, since it uses less digits than its factorization.

101051625556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 37.

Adding to 101051625556 its reverse (655526150101), we get a palindrome (756577775657).

The spelling of 101051625556 in words is "one hundred one billion, fifty-one million, six hundred twenty-five thousand, five hundred fifty-six".