10211011112120 has 192 divisors, whose sum is σ = 30296408032800. Its totient is φ = 3061531468800.

The previous prime is 10211011112117. The next prime is 10211011112147. The reversal of 10211011112120 is 2121111011201.

10211011112120 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 (14).

It is a junction number, because it is equal to n+sod(n) for n = 10211011112095 and 10211011112104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10061831 + ... + 11030070.

Almost surely, 2^{10211011112120} is an apocalyptic number.

10211011112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211011112120 is an abundant number, since it is smaller than the sum of its proper divisors (20085396920680).

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

10211011112120 is a wasteful number, since it uses less digits than its factorization.

10211011112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21091958 (or 21091947 counting only the distinct ones).

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

Adding to 10211011112120 its reverse (2121111011201), we get a palindrome (12332122123321).

The spelling of 10211011112120 in words is "ten trillion, two hundred eleven billion, eleven million, one hundred twelve thousand, one hundred twenty".