101120010121010 has 32 divisors (see below), whose sum is σ = 182309716355760. Its totient is φ = 40382786609152.

The previous prime is 101120010120971. The next prime is 101120010121019. The reversal of 101120010121010 is 10121010021101.

It can be written as a sum of positive squares in 8 ways, for example, as 97929846194401 + 3190163926609 = 9895951^2 + 1786103^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101120010120982 and 101120010121000.

It is not an unprimeable number, because it can be changed into a prime (101120010121019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13530176 + ... + 19629204.

Almost surely, 2^{101120010121010} is an apocalyptic number.

101120010121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101120010121010 is a deficient number, since it is larger than the sum of its proper divisors (81189706234750).

101120010121010 is a wasteful number, since it uses less digits than its factorization.

101120010121010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6101710.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101120010121010 its reverse (10121010021101), we get a palindrome (111241020142111).

Subtracting from 101120010121010 its reverse (10121010021101), we obtain a palindrome (90999000099909).

The spelling of 101120010121010 in words is "one hundred one trillion, one hundred twenty billion, ten million, one hundred twenty-one thousand, ten".