102501772140 has 48 divisors (see below), whose sum is σ = 287337673728. Its totient is φ = 27302119104.

The previous prime is 102501772123. The next prime is 102501772141. The reversal of 102501772140 is 41277105201.

It is a super-2 number, since 2×102501772140² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 102501772098 and 102501772107.

It is not an unprimeable number, because it can be changed into a prime (102501772141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 938002 + ... + 1041561.

It is an arithmetic number, because the mean of its divisors is an integer number (5986201536).

Almost surely, 2^102501772140 is an apocalyptic number.

102501772140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102501772140 is an abundant number, since it is smaller than the sum of its proper divisors (184835901588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102501772140 is a wasteful number, since it uses less digits than its factorization.

102501772140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980438 (or 1980436 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

Adding to 102501772140 its reverse (41277105201), we get a palindrome (143778877341).

The spelling of 102501772140 in words is "one hundred two billion, five hundred one million, seven hundred seventy-two thousand, one hundred forty".