102153351201 has 32 divisors (see below), whose sum is σ = 149469124608. Its totient is φ = 61544283840.

The previous prime is 102153351193. The next prime is 102153351221.

102153351201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102153351201 - 2³ = 102153351193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102153351221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5061336 + ... + 5081478.

It is an arithmetic number, because the mean of its divisors is an integer number (4670910144).

Almost surely, 2^102153351201 is an apocalyptic number.

102153351201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102153351201 is a deficient number, since it is larger than the sum of its proper divisors (47315773407).

102153351201 is a wasteful number, since it uses less digits than its factorization.

102153351201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21061.

The product of its (nonzero) digits is 900, while the sum is 24.

It can be divided in two parts, 102153 and 351201, that added together give a palindrome (453354).

The spelling of 102153351201 in words is "one hundred two billion, one hundred fifty-three million, three hundred fifty-one thousand, two hundred one".