101242556100 has 360 divisors, whose sum is σ = 385217497280. Its totient is φ = 22515252480.

The previous prime is 101242556083. The next prime is 101242556113. The reversal of 101242556100 is 1655242101.

101242556100 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 4 + 2 + 556 + 100 = 666.

It is a super-3 number, since 3×101242556100³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2073771 + ... + 2122029.

Almost surely, 2^101242556100 is an apocalyptic number.

101242556100 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 101242556100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192608748640).

101242556100 is an abundant number, since it is smaller than the sum of its proper divisors (283974941180).

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

101242556100 is a wasteful number, since it uses less digits than its factorization.

101242556100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48329 (or 48313 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 101242556100 its reverse (1655242101), we get a palindrome (102897798201).

The spelling of 101242556100 in words is "one hundred one billion, two hundred forty-two million, five hundred fifty-six thousand, one hundred".