101642650000 has 60 divisors (see below), whose sum is σ = 246150159444. Its totient is φ = 40657040000.

The previous prime is 101642649967. The next prime is 101642650001. The reversal of 101642650000 is 56246101.

It can be written as a sum of positive squares in 6 ways, for example, as 58223759616 + 43418890384 = 241296^2 + 208372^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (101642650001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 966427 + ... + 1066426.

Almost surely, 2^101642650000 is an apocalyptic number.

101642650000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101642650000 is an abundant number, since it is smaller than the sum of its proper divisors (144507509444).

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

101642650000 is an frugal number, since it uses more digits than its factorization.

101642650000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032886 (or 2032860 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 101642650000 its reverse (56246101), we get a palindrome (101698896101).

The spelling of 101642650000 in words is "one hundred one billion, six hundred forty-two million, six hundred fifty thousand".