101022012010001 has 12 divisors (see below), whose sum is σ = 102736805748876. Its totient is φ = 99335393118720.

The previous prime is 101022012009991. The next prime is 101022012010009. The reversal of 101022012010001 is 100010210220101.

It can be written as a sum of positive squares in 6 ways, for example, as 9985606320001 + 91036405690000 = 3160001^2 + 9541300^2 .

It is not a de Polignac number, because 101022012010001 - 2²² = 101022007815697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101022012010009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7951481 + ... + 16287113.

It is an arithmetic number, because the mean of its divisors is an integer number (8561400479073).

Almost surely, 2^{101022012010001} is an apocalyptic number.

It is an amenable number.

101022012010001 is a deficient number, since it is larger than the sum of its proper divisors (1714793738875).

101022012010001 is an frugal number, since it uses more digits than its factorization.

101022012010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8339012 (or 8338951 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101022012010001 its reverse (100010210220101), we get a palindrome (201032222230102).

The spelling of 101022012010001 in words is "one hundred one trillion, twenty-two billion, twelve million, ten thousand, one".