102101000201020 has 48 divisors (see below), whose sum is σ = 219486087152640. Its totient is φ = 39874685368896.

The previous prime is 102101000200999. The next prime is 102101000201023. The reversal of 102101000201020 is 20102000101201.

It is a super-2 number, since 2×102101000201020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102101000200988 and 102101000201006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101000201023) 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, 21563380 + ... + 25868539.

It is an arithmetic number, because the mean of its divisors is an integer number (4572626815680).

Almost surely, 2^{102101000201020} is an apocalyptic number.

102101000201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101000201020 is an abundant number, since it is smaller than the sum of its proper divisors (117385086951620).

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

102101000201020 is a wasteful number, since it uses less digits than its factorization.

102101000201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47434474 (or 47434472 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102101000201020 its reverse (20102000101201), we get a palindrome (122203000302221).

The spelling of 102101000201020 in words is "one hundred two trillion, one hundred one billion, two hundred one thousand, twenty".