100101010950 has 120 divisors (see below), whose sum is σ = 278765347608. Its totient is φ = 26632869120.

The previous prime is 100101010943. The next prime is 100101010951. The reversal of 100101010950 is 59010101001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101010951) 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 59 ways as a sum of consecutive naturals, for example, 1766254 + ... + 1822046.

Almost surely, 2^100101010950 is an apocalyptic number.

100101010950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100101010950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139382673804).

100101010950 is an abundant number, since it is smaller than the sum of its proper divisors (178664336658).

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

100101010950 is a wasteful number, since it uses less digits than its factorization.

100101010950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56260 (or 56246 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 18.

Adding to 100101010950 its reverse (59010101001), we get a palindrome (159111111951).

The spelling of 100101010950 in words is "one hundred billion, one hundred one million, ten thousand, nine hundred fifty".