1010211012120 has 64 divisors (see below), whose sum is σ = 3040377949440. Its totient is φ = 268523388800.

The previous prime is 1010211012101. The next prime is 1010211012121. The reversal of 1010211012120 is 212101120101.

1010211012120 is digitally balanced in base 2 and base 4, because in such bases 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 1010211012096 and 1010211012105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010211012121) 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, 13497126 + ... + 13571765.

It is an arithmetic number, because the mean of its divisors is an integer number (47505905460).

Almost surely, 2^{1010211012120} is an apocalyptic number.

1010211012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010211012120 is an abundant number, since it is smaller than the sum of its proper divisors (2030166937320).

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

1010211012120 is a wasteful number, since it uses less digits than its factorization.

1010211012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27069216 (or 27069212 counting only the distinct ones).

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

Adding to 1010211012120 its reverse (212101120101), we get a palindrome (1222312132221).

The spelling of 1010211012120 in words is "one trillion, ten billion, two hundred eleven million, twelve thousand, one hundred twenty".