101011621625 has 32 divisors (see below), whose sum is σ = 128032064160. Its totient is φ = 79556256000.

The previous prime is 101011621589. The next prime is 101011621637. The reversal of 101011621625 is 526126110101.

It can be written as a sum of positive squares in 16 ways, for example, as 85139653369 + 15871968256 = 291787^2 + 125984^2 .

It is not a de Polignac number, because 101011621625 - 2¹⁴ = 101011605241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101011621594 and 101011621603.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2115515 + ... + 2162735.

It is an arithmetic number, because the mean of its divisors is an integer number (4001002005).

Almost surely, 2^101011621625 is an apocalyptic number.

It is an amenable number.

101011621625 is a deficient number, since it is larger than the sum of its proper divisors (27020442535).

101011621625 is a wasteful number, since it uses less digits than its factorization.

101011621625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47502 (or 47492 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 26.

Adding to 101011621625 its reverse (526126110101), we get a palindrome (627137731726).

The spelling of 101011621625 in words is "one hundred one billion, eleven million, six hundred twenty-one thousand, six hundred twenty-five".