102101120201052 has 72 divisors (see below), whose sum is σ = 294991684696800. Its totient is φ = 29168495474688.

The previous prime is 102101120201051. The next prime is 102101120201089. The reversal of 102101120201052 is 250102021101201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101120201051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20326677 + ... + 24847052.

It is an arithmetic number, because the mean of its divisors is an integer number (4097106731900).

Almost surely, 2^{102101120201052} is an apocalyptic number.

102101120201052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102101120201052 is an abundant number, since it is smaller than the sum of its proper divisors (192890564495748).

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

102101120201052 is a wasteful number, since it uses less digits than its factorization.

102101120201052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45182715 (or 45182710 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 102101120201052 its reverse (250102021101201), we get a palindrome (352203141302253).

The spelling of 102101120201052 in words is "one hundred two trillion, one hundred one billion, one hundred twenty million, two hundred one thousand, fifty-two".