1010212101120 has 176 divisors, whose sum is σ = 3318429168288. Its totient is φ = 262108938240.

The previous prime is 1010212101113. The next prime is 1010212101133. The reversal of 1010212101120 is 211012120101.

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 = 1010212101096 and 1010212101105.

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, 320451 + ... + 1457090.

Almost surely, 2^{1010212101120} is an apocalyptic number.

1010212101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010212101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659214584144).

1010212101120 is an abundant number, since it is smaller than the sum of its proper divisors (2308217067168).

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

1010212101120 is a wasteful number, since it uses less digits than its factorization.

1010212101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777606 (or 1777588 counting only the distinct ones).

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

Adding to 1010212101120 its reverse (211012120101), we get a palindrome (1221224221221).

The spelling of 1010212101120 in words is "one trillion, ten billion, two hundred twelve million, one hundred one thousand, one hundred twenty".