1010211011121 has 16 divisors (see below), whose sum is σ = 1464116036544. Its totient is φ = 615858327744.

The previous prime is 1010211011113. The next prime is 1010211011149. The reversal of 1010211011121 is 1211101120101.

1010211011121 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 not a de Polignac number, because 1010211011121 - 2³ = 1010211011113 is a prime.

It is a super-2 number, since 2×1010211011121² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1010211011097 and 1010211011106.

It is not an unprimeable number, because it can be changed into a prime (1010211010121) 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, 121037166 + ... + 121045511.

It is an arithmetic number, because the mean of its divisors is an integer number (91507252284).

Almost surely, 2^{1010211011121} is an apocalyptic number.

It is an amenable number.

1010211011121 is a deficient number, since it is larger than the sum of its proper divisors (453905025423).

1010211011121 is a wasteful number, since it uses less digits than its factorization.

1010211011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242082800.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1010211011121 its reverse (1211101120101), we get a palindrome (2221312131222).

The spelling of 1010211011121 in words is "one trillion, ten billion, two hundred eleven million, eleven thousand, one hundred twenty-one".