10121132010 has 64 divisors (see below), whose sum is σ = 26531950464. Its totient is φ = 2450553600.

The previous prime is 10121131987. The next prime is 10121132011. The reversal of 10121132010 is 1023112101.

It is not an unprimeable number, because it can be changed into a prime (10121132011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252252 + ... + 289608.

It is an arithmetic number, because the mean of its divisors is an integer number (414561726).

Almost surely, 2^10121132010 is an apocalyptic number.

10121132010 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 10121132010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13265975232).

10121132010 is an abundant number, since it is smaller than the sum of its proper divisors (16410818454).

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

10121132010 is a wasteful number, since it uses less digits than its factorization.

10121132010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38199.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10121132010 its reverse (1023112101), we get a palindrome (11144244111).

The spelling of 10121132010 in words is "ten billion, one hundred twenty-one million, one hundred thirty-two thousand, ten".