101432222100 has 216 divisors, whose sum is σ = 367239495168. Its totient is φ = 23143142400.

The previous prime is 101432222081. The next prime is 101432222119. The reversal of 101432222100 is 1222234101.

It is a happy number.

101432222100 is a `hidden beast` number, since 1 + 0 + 1 + 432 + 22 + 210 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (101432222081) and next prime (101432222119).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 133044 + ... + 469643.

It is an arithmetic number, because the mean of its divisors is an integer number (1700182848).

Almost surely, 2^101432222100 is an apocalyptic number.

101432222100 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 101432222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183619747584).

101432222100 is an abundant number, since it is smaller than the sum of its proper divisors (265807273068).

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

101432222100 is a wasteful number, since it uses less digits than its factorization.

101432222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602735 (or 602725 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 101432222100 its reverse (1222234101), we get a palindrome (102654456201).

The spelling of 101432222100 in words is "one hundred one billion, four hundred thirty-two million, two hundred twenty-two thousand, one hundred".