101021011000110 has 160 divisors (see below), whose sum is σ = 283453805194560. Its totient is φ = 25766828600832.

The previous prime is 101021011000051. The next prime is 101021011000211. The reversal of 101021011000110 is 11000110120101.

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 = 101021011000092 and 101021011000101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 721153156 + ... + 721293224.

It is an arithmetic number, because the mean of its divisors is an integer number (1771586282466).

Almost surely, 2^{101021011000110} is an apocalyptic number.

101021011000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101021011000110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141726902597280).

101021011000110 is an abundant number, since it is smaller than the sum of its proper divisors (182432794194450).

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

101021011000110 is a wasteful number, since it uses less digits than its factorization.

101021011000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178824 (or 178815 counting only the distinct ones).

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

Adding to 101021011000110 its reverse (11000110120101), we get a palindrome (112021121120211).

The spelling of 101021011000110 in words is "one hundred one trillion, twenty-one billion, eleven million, one hundred ten", and thus it is an aban number.