101051010 has 64 divisors (see below), whose sum is σ = 278184960. Its totient is φ = 26075520.

The previous prime is 101050997. The next prime is 101051021. The reversal of 101051010 is 10150101.

It is a super-2 number, since 2×101051010² = 20422613244040200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 101050983 and 101051001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2334 + ... + 14406.

It is an arithmetic number, because the mean of its divisors is an integer number (4346640).

Almost surely, 2^101051010 is an apocalyptic number.

101051010 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 101051010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139092480).

101051010 is an abundant number, since it is smaller than the sum of its proper divisors (177133950).

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

101051010 is a wasteful number, since it uses less digits than its factorization.

101051010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12120 (or 12114 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

The square root of 101051010 is about 10052.4131431214. The cubic root of 101051010 is about 465.7793382636.

Subtracting from 101051010 its reverse (10150101), we obtain a palindrome (90900909).

The spelling of 101051010 in words is "one hundred one million, fifty-one thousand, ten".