101000610051 has 16 divisors (see below), whose sum is σ = 146922158208. Its totient is φ = 61207416000.

The previous prime is 101000610049. The next prime is 101000610101. The reversal of 101000610051 is 150016000101.

It is not a de Polignac number, because 101000610051 - 2¹ = 101000610049 is a prime.

It is a super-2 number, since 2×101000610051² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101000610051.

It is not an unprimeable number, because it can be changed into a prime (101000610031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298476 + ... + 539526.

It is an arithmetic number, because the mean of its divisors is an integer number (9182634888).

Almost surely, 2^101000610051 is an apocalyptic number.

101000610051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101000610051 is a deficient number, since it is larger than the sum of its proper divisors (45921548157).

101000610051 is a wasteful number, since it uses less digits than its factorization.

101000610051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253762.

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 101000610051 its reverse (150016000101), we get a palindrome (251016610152).

The spelling of 101000610051 in words is "one hundred one billion, six hundred ten thousand, fifty-one".