101101011000010 has 64 divisors (see below), whose sum is σ = 208818256711680. Its totient is φ = 34523378568000.

The previous prime is 101101010999987. The next prime is 101101011000037. The reversal of 101101011000010 is 10000110101101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 101101010999957 and 101101011000002.

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, 380204881 + ... + 380470699.

It is an arithmetic number, because the mean of its divisors is an integer number (3262785261120).

Almost surely, 2^{101101011000010} is an apocalyptic number.

101101011000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101101011000010 is an abundant number, since it is smaller than the sum of its proper divisors (107717245711670).

101101011000010 is a wasteful number, since it uses less digits than its factorization.

101101011000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287731.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101101011000010 its reverse (10000110101101), we get a palindrome (111101121101111).

The spelling of 101101011000010 in words is "one hundred one trillion, one hundred one billion, eleven million, ten", and thus it is an aban number.