101021100112010 has 64 divisors (see below), whose sum is σ = 197850451411872. Its totient is φ = 36914420514816.

The previous prime is 101021100112007. The next prime is 101021100112027. The reversal of 101021100112010 is 10211001120101.

It can be written as a sum of positive squares in 16 ways, for example, as 312629711689 + 100708470400321 = 559133^2 + 10035361^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101021100111982 and 101021100112000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 482517872 + ... + 482727188.

Almost surely, 2^{101021100112010} is an apocalyptic number.

101021100112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101021100112010 is a deficient number, since it is larger than the sum of its proper divisors (96829351299862).

101021100112010 is a wasteful number, since it uses less digits than its factorization.

101021100112010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247707.

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

Adding to 101021100112010 its reverse (10211001120101), we get a palindrome (111232101232111).

The spelling of 101021100112010 in words is "one hundred one trillion, twenty-one billion, one hundred million, one hundred twelve thousand, ten".