1011201011021 has 16 divisors (see below), whose sum is σ = 1076626556928. Its totient is φ = 946438944000.

The previous prime is 1011201011003. The next prime is 1011201011039. The reversal of 1011201011021 is 1201101021101.

It is an interprime number because it is at equal distance from previous prime (1011201011003) and next prime (1011201011039).

It is a cyclic number.

It is not a de Polignac number, because 1011201011021 - 2⁶ = 1011201010957 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011201010993 and 1011201011011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011201011921) 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, 10671176 + ... + 10765518.

It is an arithmetic number, because the mean of its divisors is an integer number (67289159808).

Almost surely, 2^{1011201011021} is an apocalyptic number.

It is an amenable number.

1011201011021 is a deficient number, since it is larger than the sum of its proper divisors (65425545907).

1011201011021 is a wasteful number, since it uses less digits than its factorization.

1011201011021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97852.

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

Adding to 1011201011021 its reverse (1201101021101), we get a palindrome (2212302032122).

The spelling of 1011201011021 in words is "one trillion, eleven billion, two hundred one million, eleven thousand, twenty-one".