102103213111120 has 80 divisors (see below), whose sum is σ = 255653177430672. Its totient is φ = 37699288104960.

The previous prime is 102103213111093. The next prime is 102103213111147. The reversal of 102103213111120 is 21111312301201.

It is an interprime number because it is at equal distance from previous prime (102103213111093) and next prime (102103213111147).

It can be written as a sum of positive squares in 8 ways, for example, as 30520851586624 + 71582361524496 = 5524568^2 + 8460636^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×102103213111120² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124592310 + ... + 125409130.

Almost surely, 2^{102103213111120} is an apocalyptic number.

102103213111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102103213111120 is an abundant number, since it is smaller than the sum of its proper divisors (153549964319552).

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

102103213111120 is a wasteful number, since it uses less digits than its factorization.

102103213111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937040 (or 937034 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 102103213111120 its reverse (21111312301201), we get a palindrome (123214525412321).

The spelling of 102103213111120 in words is "one hundred two trillion, one hundred three billion, two hundred thirteen million, one hundred eleven thousand, one hundred twenty".