10021102101120 has 128 divisors (see below), whose sum is σ = 34846105106880. Its totient is φ = 2429358080000.

The previous prime is 10021102101107. The next prime is 10021102101187. The reversal of 10021102101120 is 2110120112001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10021102101096 and 10021102101105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237220881 + ... + 237263120.

Almost surely, 2^{10021102101120} is an apocalyptic number.

10021102101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021102101120 is an abundant number, since it is smaller than the sum of its proper divisors (24825003005760).

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

10021102101120 is a wasteful number, since it uses less digits than its factorization.

10021102101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474484034 (or 474484022 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10021102101120 its reverse (2110120112001), we get a palindrome (12131222213121).

The spelling of 10021102101120 in words is "ten trillion, twenty-one billion, one hundred two million, one hundred one thousand, one hundred twenty".