10101101120010 has 96 divisors (see below), whose sum is σ = 26330929372800. Its totient is φ = 2686654099584.

The previous prime is 10101101119999. The next prime is 10101101120017. The reversal of 10101101120010 is 1002110110101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10101101119974 and 10101101120001.

It is not an unprimeable number, because it can be changed into a prime (10101101120017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58837917 + ... + 59009343.

It is an arithmetic number, because the mean of its divisors is an integer number (274280514300).

Almost surely, 2^{10101101120010} is an apocalyptic number.

10101101120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10101101120010 is an abundant number, since it is smaller than the sum of its proper divisors (16229828252790).

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

10101101120010 is a wasteful number, since it uses less digits than its factorization.

10101101120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173132 (or 173129 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10101101120010 its reverse (1002110110101), we get a palindrome (11103211230111).

The spelling of 10101101120010 in words is "ten trillion, one hundred one billion, one hundred one million, one hundred twenty thousand, ten".