10102121111120 has 40 divisors (see below), whose sum is σ = 23488603098216. Its totient is φ = 4040646893568.

The previous prime is 10102121111087. The next prime is 10102121111129. The reversal of 10102121111120 is 2111112120101.

It can be written as a sum of positive squares in 4 ways, for example, as 1047871606336 + 9054249504784 = 1023656^2 + 3009028^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 10102121111095 and 10102121111104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102121111129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1530137 + ... + 4748216.

Almost surely, 2^{10102121111120} is an apocalyptic number.

10102121111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102121111120 is an abundant number, since it is smaller than the sum of its proper divisors (13386481987096).

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

10102121111120 is a wasteful number, since it uses less digits than its factorization.

10102121111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6298479 (or 6298473 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10102121111120 its reverse (2111112120101), we get a palindrome (12213233231221).

The spelling of 10102121111120 in words is "ten trillion, one hundred two billion, one hundred twenty-one million, one hundred eleven thousand, one hundred twenty".