101011210010100 has 288 divisors, whose sum is σ = 349743711914240. Its totient is φ = 24862025018880.

The previous prime is 101011210010059. The next prime is 101011210010111. The reversal of 101011210010100 is 1010012110101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 401312889 + ... + 401564511.

Almost surely, 2^{101011210010100} is an apocalyptic number.

101011210010100 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 101011210010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174871855957120).

101011210010100 is an abundant number, since it is smaller than the sum of its proper divisors (248732501904140).

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

101011210010100 is a wasteful number, since it uses less digits than its factorization.

101011210010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263096 (or 263083 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101011210010100 its reverse (1010012110101), we get a palindrome (102021222120201).

The spelling of 101011210010100 in words is "one hundred one trillion, eleven billion, two hundred ten million, ten thousand, one hundred".