101021010021011 has 8 divisors (see below), whose sum is σ = 101086980200448. Its totient is φ = 100955041965000.

The previous prime is 101021010021007. The next prime is 101021010021037. The reversal of 101021010021011 is 110120010120101.

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 101021010021011 - 2² = 101021010021007 is a prime.

It is a super-2 number, since 2×101021010021011² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101021010020983 and 101021010021001.

It is not an unprimeable number, because it can be changed into a prime (101021015021011) 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, 100974686 + ... + 101970236.

It is an arithmetic number, because the mean of its divisors is an integer number (12635872525056).

Almost surely, 2^{101021010021011} is an apocalyptic number.

101021010021011 is a deficient number, since it is larger than the sum of its proper divisors (65970179437).

101021010021011 is an equidigital number, since it uses as much as digits as its factorization.

101021010021011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061713.

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

Adding to 101021010021011 its reverse (110120010120101), we get a palindrome (211141020141112).

The spelling of 101021010021011 in words is "one hundred one trillion, twenty-one billion, ten million, twenty-one thousand, eleven".