102101010200007 has 64 divisors (see below), whose sum is σ = 179651929927680. Its totient is φ = 50045894406144.

The previous prime is 102101010199963. The next prime is 102101010200023. The reversal of 102101010200007 is 700002010101201.

It is not a de Polignac number, because 102101010200007 - 2⁶ = 102101010199943 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101010300007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138872518 + ... + 139605795.

It is an arithmetic number, because the mean of its divisors is an integer number (2807061405120).

Almost surely, 2^{102101010200007} is an apocalyptic number.

102101010200007 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

102101010200007 is a deficient number, since it is larger than the sum of its proper divisors (77550919727673).

102101010200007 is a wasteful number, since it uses less digits than its factorization.

102101010200007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278478432.

The product of its (nonzero) digits is 28, while the sum is 15.

Adding to 102101010200007 its reverse (700002010101201), we get a palindrome (802103020301208).

The spelling of 102101010200007 in words is "one hundred two trillion, one hundred one billion, ten million, two hundred thousand, seven".