102240702001 has 9 divisors (see below), whose sum is σ = 107911419051. Its totient is φ = 96853856904.

The previous prime is 102240701993. The next prime is 102240702127. The reversal of 102240702001 is 100207042201.

It is a happy number.

The square root of 102240702001 is 319751.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2043130401 + 100197571600 = 45201^2 + 316540^2 .

It is not a de Polignac number, because 102240702001 - 2³ = 102240701993 is a prime.

It is a super-2 number, since 2×102240702001² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102240702001.

It is not an unprimeable number, because it can be changed into a prime (102240702701) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6066855 + ... + 6083683.

Almost surely, 2^102240702001 is an apocalyptic number.

102240702001 is the 319751-st square number.

102240702001 is the 159876-th centered octagonal number.

It is an amenable number.

102240702001 is a deficient number, since it is larger than the sum of its proper divisors (5670717050).

102240702001 is an frugal number, since it uses more digits than its factorization.

102240702001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33696 (or 16848 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

Adding to 102240702001 its reverse (100207042201), we get a palindrome (202447744202).

The spelling of 102240702001 in words is "one hundred two billion, two hundred forty million, seven hundred two thousand, one".