102101001020001 has 12 divisors (see below), whose sum is σ = 151076277932580. Its totient is φ = 66407155134720.

The previous prime is 102101001019951. The next prime is 102101001020017. The reversal of 102101001020001 is 100020100101201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 46911554338401 + 55189446681600 = 6849201^2 + 7428960^2 .

It is not a de Polignac number, because 102101001020001 - 2⁷ = 102101001019873 is a prime.

It is a super-2 number, since 2×102101001020001² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (102101001020801) 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, 138348239496 + ... + 138348240233.

It is an arithmetic number, because the mean of its divisors is an integer number (12589689827715).

Almost surely, 2^{102101001020001} is an apocalyptic number.

It is an amenable number.

102101001020001 is a deficient number, since it is larger than the sum of its proper divisors (48975276912579).

102101001020001 is a wasteful number, since it uses less digits than its factorization.

102101001020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276696479776 (or 276696479773 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102101001020001 its reverse (100020100101201), we get a palindrome (202121101121202).

The spelling of 102101001020001 in words is "one hundred two trillion, one hundred one billion, one million, twenty thousand, one".