1020101122211 has 8 divisors (see below), whose sum is σ = 1047662175600. Its totient is φ = 992882442400.

The previous prime is 1020101122153. The next prime is 1020101122217. The reversal of 1020101122211 is 1122211010201.

1020101122211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1020101122211 - 2¹⁰ = 1020101121187 is a prime.

It is a super-2 number, since 2×1020101122211² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020101122217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85587356 + ... + 85599273.

It is an arithmetic number, because the mean of its divisors is an integer number (130957771950).

Almost surely, 2^{1020101122211} is an apocalyptic number.

1020101122211 is a deficient number, since it is larger than the sum of its proper divisors (27561053389).

1020101122211 is a wasteful number, since it uses less digits than its factorization.

1020101122211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171186789.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1020101122211 its reverse (1122211010201), we get a palindrome (2142312132412).

It can be divided in two parts, 102010 and 1122211, that added together give a palindrome (1224221).

The spelling of 1020101122211 in words is "one trillion, twenty billion, one hundred one million, one hundred twenty-two thousand, two hundred eleven".