101000011121010 has 64 divisors (see below), whose sum is σ = 275063860108800. Its totient is φ = 26360286587136.

The previous prime is 101000011121003. The next prime is 101000011121071. The reversal of 101000011121010 is 10121110000101.

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 = 101000011120983 and 101000011121001.

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, 3979499175 + ... + 3979524554.

It is an arithmetic number, because the mean of its divisors is an integer number (4297872814200).

Almost surely, 2^{101000011121010} is an apocalyptic number.

101000011121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101000011121010 is an abundant number, since it is smaller than the sum of its proper divisors (174063848987790).

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

101000011121010 is a wasteful number, since it uses less digits than its factorization.

101000011121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7959023792 (or 7959023786 counting only the distinct ones).

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

Adding to 101000011121010 its reverse (10121110000101), we get a palindrome (111121121121111).

The spelling of 101000011121010 in words is "one hundred one trillion, eleven million, one hundred twenty-one thousand, ten".