10031122012010 has 144 divisors (see below), whose sum is σ = 20627083353240. Its totient is φ = 3509165721600.

The previous prime is 10031122011947. The next prime is 10031122012031. The reversal of 10031122012010 is 1021022113001.

It can be written as a sum of positive squares in 12 ways, for example, as 6379044308329 + 3652077703681 = 2525677^2 + 1911041^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 147393590 + ... + 147461630.

Almost surely, 2^{10031122012010} is an apocalyptic number.

10031122012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10031122012010 is an abundant number, since it is smaller than the sum of its proper divisors (10595961341230).

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

10031122012010 is a wasteful number, since it uses less digits than its factorization.

10031122012010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68233 (or 68185 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10031122012010 its reverse (1021022113001), we get a palindrome (11052144125011).

The spelling of 10031122012010 in words is "ten trillion, thirty-one billion, one hundred twenty-two million, twelve thousand, ten".