101022021100 has 216 divisors, whose sum is σ = 299592418608. Its totient is φ = 29065075200.

The previous prime is 101022021091. The next prime is 101022021103. The reversal of 101022021100 is 1120220101.

101022021100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (101022021103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 628614 + ... + 772786.

It is an arithmetic number, because the mean of its divisors is an integer number (1387001938).

Almost surely, 2^101022021100 is an apocalyptic number.

101022021100 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 101022021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149796209304).

101022021100 is an abundant number, since it is smaller than the sum of its proper divisors (198570397508).

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

101022021100 is a wasteful number, since it uses less digits than its factorization.

101022021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144225 (or 144211 counting only the distinct ones).

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

Adding to 101022021100 its reverse (1120220101), we get a palindrome (102142241201).

The spelling of 101022021100 in words is "one hundred one billion, twenty-two million, twenty-one thousand, one hundred".