101012001006 has 16 divisors (see below), whose sum is σ = 230884573824. Its totient is φ = 28860571704.

The previous prime is 101012000939. The next prime is 101012001007. The reversal of 101012001006 is 600100210101.

It is a happy number.

It is a super-2 number, since 2×101012001006² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101012000982 and 101012001000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012001007) 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, 1202523780 + ... + 1202523863.

It is an arithmetic number, because the mean of its divisors is an integer number (14430285864).

Almost surely, 2^101012001006 is an apocalyptic number.

101012001006 is an abundant number, since it is smaller than the sum of its proper divisors (129872572818).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101012001006 is a wasteful number, since it uses less digits than its factorization.

101012001006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2405047655.

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

Adding to 101012001006 its reverse (600100210101), we get a palindrome (701112211107).

The spelling of 101012001006 in words is "one hundred one billion, twelve million, one thousand, six".