101121112010 has 32 divisors (see below), whose sum is σ = 191618136000. Its totient is φ = 38315531520.

The previous prime is 101121111937. The next prime is 101121112031. The reversal of 101121112010 is 10211121101.

It is a junction number, because it is equal to n+sod(n) for n = 101121111982 and 101121112000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2267225 + ... + 2311395.

It is an arithmetic number, because the mean of its divisors is an integer number (5988066750).

Almost surely, 2^101121112010 is an apocalyptic number.

101121112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101121112010 is a deficient number, since it is larger than the sum of its proper divisors (90497023990).

101121112010 is a wasteful number, since it uses less digits than its factorization.

101121112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56246.

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

Adding to 101121112010 its reverse (10211121101), we get a palindrome (111332233111).

Subtracting from 101121112010 its reverse (10211121101), we obtain a palindrome (90909990909).

The spelling of 101121112010 in words is "one hundred one billion, one hundred twenty-one million, one hundred twelve thousand, ten".