1012011012101 has 16 divisors (see below), whose sum is σ = 1112669706240. Its totient is φ = 916172714160.

The previous prime is 1012011012091. The next prime is 1012011012107. The reversal of 1012011012101 is 1012101102101.

It is a cyclic number.

It is not a de Polignac number, because 1012011012101 - 2¹⁸ = 1012010749957 is a prime.

It is a super-2 number, since 2×1012011012101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012011012107) 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, 672545 + ... + 1573638.

It is an arithmetic number, because the mean of its divisors is an integer number (69541856640).

Almost surely, 2^{1012011012101} is an apocalyptic number.

It is an amenable number.

1012011012101 is a deficient number, since it is larger than the sum of its proper divisors (100658694139).

1012011012101 is a wasteful number, since it uses less digits than its factorization.

1012011012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247256.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1012011012101 its reverse (1012101102101), we get a palindrome (2024112114202).

The spelling of 1012011012101 in words is "one trillion, twelve billion, eleven million, twelve thousand, one hundred one".