10072151100 has 432 divisors, whose sum is σ = 36553660416. Its totient is φ = 2296512000.

The previous prime is 10072151083. The next prime is 10072151101. The reversal of 10072151100 is 115127001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10072151101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11354857 + ... + 11355743.

Almost surely, 2^10072151100 is an apocalyptic number.

10072151100 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 10072151100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18276830208).

10072151100 is an abundant number, since it is smaller than the sum of its proper divisors (26481509316).

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

10072151100 is a wasteful number, since it uses less digits than its factorization.

10072151100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

Adding to 10072151100 its reverse (115127001), we get a palindrome (10187278101).

The spelling of 10072151100 in words is "ten billion, seventy-two million, one hundred fifty-one thousand, one hundred".