101050100 has 18 divisors (see below), whose sum is σ = 219278934. Its totient is φ = 40420000.

The previous prime is 101050097. The next prime is 101050127. The reversal of 101050100 is 1050101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 7396 + 101042704 = 86^2 + 10052^2 .

It is a super-2 number, since 2×101050100² = 20422245420020000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505151 + ... + 505350.

It is an arithmetic number, because the mean of its divisors is an integer number (12182163).

Almost surely, 2^101050100 is an apocalyptic number.

101050100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101050100 is an abundant number, since it is smaller than the sum of its proper divisors (118228834).

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

101050100 is a wasteful number, since it uses less digits than its factorization.

101050100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010515 (or 1010508 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 8.

The square root of 101050100 is about 10052.3678802559. The cubic root of 101050100 is about 465.7779400903. Note that the first 3 decimals are identical.

Subtracting from 101050100 its reverse (1050101), we obtain a palindrome (99999999).

The spelling of 101050100 in words is "one hundred one million, fifty thousand, one hundred".