101002021101000 has 192 divisors, whose sum is σ = 341450438050800. Its totient is φ = 26928854016000.

The previous prime is 101002021100947. The next prime is 101002021101043. The reversal of 101002021101000 is 101120200101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8830846362276 + 92171174738724 = 2971674^2 + 9600582^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47386216 + ... + 49471784.

Almost surely, 2^{101002021101000} is an apocalyptic number.

101002021101000 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 101002021101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170725219025400).

101002021101000 is an abundant number, since it is smaller than the sum of its proper divisors (240448416949800).

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

101002021101000 is a wasteful number, since it uses less digits than its factorization.

101002021101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090977 (or 2090960 counting only the distinct ones).

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

Adding to 101002021101000 its reverse (101120200101), we get a palindrome (101103141301101).

The spelling of 101002021101000 in words is "one hundred one trillion, two billion, twenty-one million, one hundred one thousand".