101210010112010 has 24 divisors (see below), whose sum is σ = 188676639556236. Its totient is φ = 39088003902080.

The previous prime is 101210010111971. The next prime is 101210010112031. The reversal of 101210010112010 is 10211010012101.

It can be written as a sum of positive squares in 6 ways, for example, as 69945238508929 + 31264771603081 = 8363327^2 + 5591491^2 .

It is a super-2 number, since 2×101210010112010² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101210010111982 and 101210010112000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6017233571 + ... + 6017250390.

Almost surely, 2^{101210010112010} is an apocalyptic number.

101210010112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101210010112010 is a deficient number, since it is larger than the sum of its proper divisors (87466629444226).

101210010112010 is a wasteful number, since it uses less digits than its factorization.

101210010112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12034484026 (or 12034483997 counting only the distinct ones).

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

Adding to 101210010112010 its reverse (10211010012101), we get a palindrome (111421020124111).

Subtracting from 101210010112010 its reverse (10211010012101), we obtain a palindrome (90999000099909).

The spelling of 101210010112010 in words is "one hundred one trillion, two hundred ten billion, ten million, one hundred twelve thousand, ten".