1011102100120 has 64 divisors (see below), whose sum is σ = 2602305276480. Its totient is φ = 346353117696.

The previous prime is 1011102100109. The next prime is 1011102100121. The reversal of 1011102100120 is 210012011101.

1011102100120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1011102100097 and 1011102100106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011102100121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1303659 + ... + 1929178.

It is an arithmetic number, because the mean of its divisors is an integer number (40661019945).

Almost surely, 2^{1011102100120} is an apocalyptic number.

1011102100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011102100120 is an abundant number, since it is smaller than the sum of its proper divisors (1591203176360).

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

1011102100120 is a wasteful number, since it uses less digits than its factorization.

1011102100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3233972 (or 3233968 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1011102100120 its reverse (210012011101), we get a palindrome (1221114111221).

The spelling of 1011102100120 in words is "one trillion, eleven billion, one hundred two million, one hundred thousand, one hundred twenty".