101012110201000 has 128 divisors (see below), whose sum is σ = 241355235008160. Its totient is φ = 39560463360000.

The previous prime is 101012110200997. The next prime is 101012110201007. The reversal of 101012110201000 is 102011210101.

It can be written as a sum of positive squares in 16 ways, for example, as 4876085410596 + 96136024790404 = 2208186^2 + 9804898^2 .

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

It is not an unprimeable number, because it can be changed into a prime (101012110201007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4950900 + ... + 15051100.

Almost surely, 2^{101012110201000} is an apocalyptic number.

101012110201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101012110201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120677617504080).

101012110201000 is an abundant number, since it is smaller than the sum of its proper divisors (140343124807160).

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

101012110201000 is a wasteful number, since it uses less digits than its factorization.

101012110201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10100432 (or 10100418 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101012110201000 its reverse (102011210101), we get a palindrome (101114121411101).

The spelling of 101012110201000 in words is "one hundred one trillion, twelve billion, one hundred ten million, two hundred one thousand".