49101020100 has 576 divisors, whose sum is σ = 184788172800. Its totient is φ = 11052288000.

The previous prime is 49101020093. The next prime is 49101020251. The reversal of 49101020100 is 102010194.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 39886485 + ... + 39887715.

It is an arithmetic number, because the mean of its divisors is an integer number (320812800).

Almost surely, 2^49101020100 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 49101020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92394086400).

49101020100 is an abundant number, since it is smaller than the sum of its proper divisors (135687152700).

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

49101020100 is a wasteful number, since it uses less digits than its factorization.

49101020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 49101020100 its reverse (102010194), we get a palindrome (49203030294).

The spelling of 49101020100 in words is "forty-nine billion, one hundred one million, twenty thousand, one hundred".