101011000000 has 196 divisors, whose sum is σ = 253778470344. Its totient is φ = 39884800000.

The previous prime is 101010999997. The next prime is 101011000133. The reversal of 101011000000 is 110101.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 82999392 + ... + 83000608.

It is an arithmetic number, because the mean of its divisors is an integer number (1294788114).

Almost surely, 2^101011000000 is an apocalyptic number.

101011000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101011000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126889235172).

101011000000 is an abundant number, since it is smaller than the sum of its proper divisors (152767470344).

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

101011000000 is an frugal number, since it uses more digits than its factorization.

101011000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 101011000000 its reverse (110101), we get a palindrome (101011110101).

It can be divided in two parts, 10101 and 1000000, that added together give a palindrome (1010101).

The spelling of 101011000000 in words is "one hundred one billion, eleven million", and thus it is an aban number.