1011021112101 has 192 divisors, whose sum is σ = 1985863219200. Its totient is φ = 443443714560.

The previous prime is 1011021112069. The next prime is 1011021112147. The reversal of 1011021112101 is 1012111201101.

It is not a de Polignac number, because 1011021112101 - 2⁵ = 1011021112069 is a prime.

It is a super-2 number, since 2×1011021112101² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011021111101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18173410 + ... + 18228956.

It is an arithmetic number, because the mean of its divisors is an integer number (10343037600).

Almost surely, 2^{1011021112101} is an apocalyptic number.

1011021112101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1011021112101 is a deficient number, since it is larger than the sum of its proper divisors (974842107099).

1011021112101 is a wasteful number, since it uses less digits than its factorization.

1011021112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55640 (or 55629 counting only the distinct ones).

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

Adding to 1011021112101 its reverse (1012111201101), we get a palindrome (2023132313202).

The spelling of 1011021112101 in words is "one trillion, eleven billion, twenty-one million, one hundred twelve thousand, one hundred one".