101601062500 has 252 divisors, whose sum is σ = 266127843520. Its totient is φ = 33244200000.

The previous prime is 101601062491. The next prime is 101601062503. The reversal of 101601062500 is 5260106101.

It is a super-2 number, since 2×101601062500² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101601062503) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 231437281 + ... + 231437719.

Almost surely, 2^101601062500 is an apocalyptic number.

101601062500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101601062500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133063921760).

101601062500 is an abundant number, since it is smaller than the sum of its proper divisors (164526781020).

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

101601062500 is an frugal number, since it uses more digits than its factorization.

101601062500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

Adding to 101601062500 its reverse (5260106101), we get a palindrome (106861168601).

The spelling of 101601062500 in words is "one hundred one billion, six hundred one million, sixty-two thousand, five hundred".