102101009953 has 2 divisors, whose sum is σ = 102101009954. Its totient is φ = 102101009952.

The previous prime is 102101009947. The next prime is 102101010127. The reversal of 102101009953 is 359900101201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100839907809 + 1261102144 = 317553^2 + 35512^2 .

It is a cyclic number.

It is not a de Polignac number, because 102101009953 - 2²¹ = 102098912801 is a prime.

It is not a weakly prime, because it can be changed into another prime (102101009453) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050504976 + 51050504977.

It is an arithmetic number, because the mean of its divisors is an integer number (51050504977).

Almost surely, 2^102101009953 is an apocalyptic number.

It is an amenable number.

102101009953 is a deficient number, since it is larger than the sum of its proper divisors (1).

102101009953 is an equidigital number, since it uses as much as digits as its factorization.

102101009953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2430, while the sum is 31.

The spelling of 102101009953 in words is "one hundred two billion, one hundred one million, nine thousand, nine hundred fifty-three".